The generator matrix

 1  0  1  1  1  2  1  1  0  0  1  1  1  0  1  1  1  0  1  1  0  1  1  2  1  1  0  1  1  X  1 X+2  1  1  1  1  X  2  1  X  1  1  1  1  1 X+2  1  1  1  1 X+2 X+2  1  1  1  0  2  1  1  1  0  1  2
 0  1  1  0  1  1  2 X+1  1  1  2 X+3  2  1  3 X+1  2  1 X+1  X  1  0  1  1 X+2 X+3  1  3  0  1 X+1  1 X+1 X+1 X+1  X  1  1  0  1 X+3 X+2  X  1  0  1  3  X  3  0  1  1  3  0  1  1  0  1 X+3  X  1  2  1
 0  0  X  0  0  0  0  2 X+2  X X+2 X+2 X+2  2  0  X X+2  X  0  X  0  2 X+2  X X+2  X  X  2 X+2  0  2  2  2 X+2  2  2  X X+2  0  0  X X+2 X+2  2  0 X+2  X  2  2  X X+2 X+2 X+2 X+2  X  0  2  X  X  2  2  X X+2
 0  0  0  X  0  0  2  2  2  2  0  2  2 X+2  X  X  X X+2 X+2  X  X X+2 X+2 X+2  2  2  X  X  X  0  2  0  X  X  2  0  0 X+2  X  2  X X+2  0 X+2  2  2  2  X  0 X+2  0 X+2  2  0 X+2  0  X  0 X+2  0  2  2  2
 0  0  0  0  X X+2 X+2  2  X  0  0 X+2  X  X  X  X  2  0  0 X+2  2 X+2  2  2  2  0 X+2  0 X+2 X+2  0  2  X  X  X  0 X+2  X  X X+2  2  0  0  0  X X+2  2  0  2  2  0  X  2  X X+2  2  0 X+2  X X+2  0 X+2  2

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+87x^56+156x^57+294x^58+248x^59+379x^60+416x^61+366x^62+400x^63+301x^64+428x^65+248x^66+264x^67+193x^68+120x^69+86x^70+16x^71+42x^72+22x^74+18x^76+8x^78+1x^80+2x^84

The gray image is a code over GF(2) with n=252, k=12 and d=112.
This code was found by Heurico 1.16 in 0.893 seconds.