The generator matrix

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

generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+146x^59+197x^60+272x^61+197x^62+262x^63+211x^64+178x^65+102x^66+114x^67+103x^68+80x^69+42x^70+34x^71+31x^72+42x^73+10x^74+20x^75+4x^77+1x^78+1x^80

The gray image is a code over GF(2) with n=256, k=11 and d=118.
This code was found by Heurico 1.16 in 0.29 seconds.