# [05AB1E], score = 1673 (7 bytes · 239)

    žBœ∊{3ý

[Try it online!][TIO-jrulueeb]

[05AB1E]: https://github.com/Adriandmen/05AB1E
[TIO-jrulueeb]: https://tio.run/##yy9OTMpM/f//6D6no5MfdXRVGx/e@/8/AA "05AB1E – Try It Online"

    žB          push 1024
      œ         permutations: ["1024", "1042", …, "4201"]
       ∊        vertically mirror: ["1024", "1042", …, "4201", "4201", …, "1042", "1024"]
        {       sort: ["0124", "0124", "0142", "0142", …, "4210", "4210"]
         3      push 3
          ý     join: "01243012430142301423…3421034210"

# [Pyth], score = 2160 (10 bytes · 216)

    sm+d+4d.p4

[Try it online!][TIO-jruemayo]

[Pyth]: https://github.com/isaacg1/pyth
[TIO-jruemayo]: https://tio.run/##K6gsyfj/vzhXO0XbJEWvwOT/fwA "Pyth – Try It Online"

### How it works

     m     .p4   map over all permutations d of [0, 1, 2, 3]:
      +d+4d        d + [4] + d
    s            concatenate