The generator matrix

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

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+116x^56+84x^57+346x^58+264x^59+445x^60+300x^61+444x^62+240x^63+430x^64+300x^65+347x^66+264x^67+261x^68+84x^69+75x^70+39x^72+25x^74+17x^76+9x^78+1x^80+2x^82+1x^84+1x^88

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 0.948 seconds.