The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  2  X  1  1  1  0  1  X  1  0  0  1  0  X  1  1  1  0  X  X
 0  X  0  X  0  0  X X+2  0  2  X X+2  0 X+2  2 X+2  X  0  2  X  2 X+2  0 X+2  0  2  2  X  X  0  X  X  0  2  X  0  X  2 X+2  X  0  X X+2  X  0  2 X+2  X  X  X X+2 X+2  2  X  2  2 X+2  X  X  X  X X+2  0
 0  0  X  X  0 X+2  X  0  2  X  X  0  2 X+2  X  2  X  0 X+2  0  0  2 X+2  X  0  0  X  X  2 X+2 X+2  2  0  X  X  2 X+2  0  0  0  0  X  2  X X+2  0  X X+2  2  0  2  X  X  2  2  X  0  2  0 X+2  0  2  0
 0  0  0  2  0  0  0  2  2  2  0  0  2  2  0  0  0  2  2  2  2  0  0  0  2  2  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  0  2  2  2  0  0  0  2  2  0  0  2  2  2  2  2  2
 0  0  0  0  2  0  0  0  0  0  2  0  2  2  2  2  0  2  2  2  0  2  2  2  2  0  0  2  0  2  0  2  0  0  2  2  0  0  2  0  0  2  0  2  2  2  0  2  0  0  0  2  0  2  2  0  2  0  2  2  2  0  2
 0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  0  2  0  2  0  2  2  2  0  0  0  2  0  0  2  0  0  0  0  2  2  2  2  0  2  2  2  0  0  0  0  2  0  2  2  0  2  0  2  2  0  0  0  2  2  0  2  0
 0  0  0  0  0  0  2  2  2  2  2  0  2  0  0  0  2  2  2  2  2  0  0  2  0  0  2  0  2  2  0  2  2  2  2  0  0  2  0  0  0  0  0  0  2  2  0  2  0  2  2  0  0  2  0  2  2  0  2  0  2  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+161x^56+8x^57+80x^58+88x^59+216x^60+256x^61+58x^62+336x^63+178x^64+232x^65+60x^66+88x^67+143x^68+16x^69+32x^70+59x^72+20x^74+8x^76+6x^78+1x^80+1x^100

The gray image is a code over GF(2) with n=252, k=11 and d=112.
This code was found by Heurico 1.16 in 0.445 seconds.