#05AB1E, 28 27 25 24 23 bytes

2TŸ.•-Ÿ•S«.•ôì•âJ„jjS«u

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-1 byte thanks to @Emigna removing the S after "HSDC", because â does this implicitly.

Explanation:

2TŸ           # Push list in the range [2,10]: [2,3,4,5,6,7,8,9,10]
   .•-Ÿ•      # Push compressed string "ajqk"
        S     # Convert it to a list of characters: ["a","j","q","k"]
         «    # Merge the two lists together: [2,3,4,5,6,7,8,9,10,"a","j","q","k"]
.•ôì•         # Push compressed string "cdhs"
â             # Cartesian product of each (pair each character of both lists):
              #  [[2,"a"],[2,"d"],[2,"h"],...,["k","d"],["k","h"],["k","s"]]
J             # Join each pair together to a single string:
              #  ["2a","2d","2h",...,"kd","kh","ks"]
„jjS          # Push string "jj", and convert it to a list of characters: ["j","j"]
    «         # Merge both lists together:
              #  ["2a","2d","2h",...,"kd","kh","ks","j","j"]
     u        # Convert everything to uppercase:
              #  ["2A","2D","2H",...,"KD","KH","KS","J","J"]
              # (and output the result implicitly)

See this 05AB1E tip of mine (section How to compress strings not part of the dictionary?) to understand why .•-Ÿ• is "ajqk" and .•ôì• is "cdhs".

05AB1E, 28 27 25 24 23 bytes

2TŸ.•-Ÿ•S«.•ôì•âJ„jjS«u

Try it online.

-1 byte thanks to @Emigna removing the S after "HSDC", because â does this implicitly.

Explanation:

2TŸ           # Push list in the range [2,10]: [2,3,4,5,6,7,8,9,10]
   .•-Ÿ•      # Push compressed string "ajqk"
        S     # Convert it to a list of characters: ["a","j","q","k"]
         «    # Merge the two lists together: [2,3,4,5,6,7,8,9,10,"a","j","q","k"]
.•ôì•         # Push compressed string "cdhs"
â             # Cartesian product of each (pair each character of both lists):
              #  [[2,"a"],[2,"d"],[2,"h"],...,["k","d"],["k","h"],["k","s"]]
J             # Join each pair together to a single string:
              #  ["2a","2d","2h",...,"kd","kh","ks"]
„jjS          # Push string "jj", and convert it to a list of characters: ["j","j"]
    «         # Merge both lists together:
              #  ["2a","2d","2h",...,"kd","kh","ks","j","j"]
     u        # Convert everything to uppercase:
              #  ["2A","2D","2H",...,"KD","KH","KS","J","J"]
              # (and output the result implicitly)

See this 05AB1E tip of mine (section How to compress strings not part of the dictionary?) to understand why .•-Ÿ• is "ajqk" and .•ôì• is "cdhs".

#05AB1E, 28 27 25 24 bytes

2TŸ"AJQK"S«"HSDC"âJ„JJS«

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Explanation:

2TŸ"AJQK"S«    # [2,3,4,5,6,7,8,9,10,'A','J','Q','K']
"HSDC"         # "HSDC"
â              # Cartesian product of each (pair each character of both lists)
J              # Join each pair together to a single string
„JJS«          # Add two items "J" to the list

24 byte alternative of @Emigna:

"AJQK"S9L>ì"HSCD"âJ„JJSì

Try it online.

#05AB1E, 28 27 25 24 23 bytes

2TŸ.•-Ÿ•S«.•ôì•âJ„jjS«u

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Explanation:

2TŸ           # Push list in the range [2,10]: [2,3,4,5,6,7,8,9,10]
   .•-Ÿ•      # Push compressed string "ajqk"
        S     # Convert it to a list of characters: ["a","j","q","k"]
         «    # Merge the two lists together: [2,3,4,5,6,7,8,9,10,"a","j","q","k"]
.•ôì•         # Push compressed string "cdhs"
â             # Cartesian product of each (pair each character of both lists):
              #  [[2,"a"],[2,"d"],[2,"h"],...,["k","d"],["k","h"],["k","s"]]
J             # Join each pair together to a single string:
              #  ["2a","2d","2h",...,"kd","kh","ks"]
„jjS          # Push string "jj", and convert it to a list of characters: ["j","j"]
    «         # Merge both lists together:
              #  ["2a","2d","2h",...,"kd","kh","ks","j","j"]
     u        # Convert everything to uppercase:
              #  ["2A","2D","2H",...,"KD","KH","KS","J","J"]
              # (and output the result implicitly)

See this 05AB1E tip of mine (section How to compress strings not part of the dictionary?) to understand why .•-Ÿ• is "ajqk" and .•ôì• is "cdhs".

#05AB1E, 28 27 25 24 bytes

2TŸ"AJQK"S«"HSDC"âJ„JJS«

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-1 byte thanks to @Emigna removing the S after "HSDC", because â does this implicitly.

Explanation:

2TŸ"AJQK"S«    # [2,3,4,5,6,7,8,9,10,'A','J','Q','K']
"HSDC"         # "HSDC"
â              # Cartesian product of each (pair each character of both lists)
J              # Join each pair together to a single string
„JJS«          # Add two items "J" to the list

#05AB1E, 28 27 25 24 bytes

2TŸ"AJQK"S«"HSDC"âJ„JJS«

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-1 byte thanks to @Emigna removing the S after "HSDC", because â does this implicitly.

Explanation:

2TŸ"AJQK"S«    # [2,3,4,5,6,7,8,9,10,'A','J','Q','K']
"HSDC"         # "HSDC"
â              # Cartesian product of each (pair each character of both lists)
J              # Join each pair together to a single string
„JJS«          # Add two items "J" to the list

24 byte alternative of @Emigna:

"AJQK"S9L>ì"HSCD"âJ„JJSì

Try it online.