The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+130x^57+271x^58+432x^59+381x^60+506x^61+306x^62+476x^63+295x^64+252x^65+251x^66+248x^67+145x^68+106x^69+100x^70+92x^71+38x^72+46x^73+16x^75+4x^76

The gray image is a code over GF(2) with n=252, k=12 and d=114.
This code was found by Heurico 1.11 in 0.343 seconds.