The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  1  2  1  X  1  1  0  1  X  2  1  1  1  0  1  0  1  X  X  2  1  1  X  1  1  1  0  1 X+2  1  X  1  1  2  X  2  X X+2  1  1  1  1  1 X+2  X  1  0  1  1  1  1  1  0  1
 0  1  0  0  3 X+1  1  2  2  0  1  1 X+3  1  0  3  1 X+1 X+2  1 X+3  0 X+2  1 X+2 X+2  1  1  1  2 X+3 X+2  1  2 X+2  X  1  1  X  1  0 X+2  3  1  X  1  1  1  2 X+1  0  2  X  1 X+2  0  X X+3  1 X+1  0  1  1  0
 0  0  1  1  3  2  3  1  0 X+1  2  1 X+3  2  1  3  0 X+2  1 X+3  X X+2  3 X+1  X  1 X+3  X  1  1 X+3  2 X+3  1  1  2  X  3  1 X+2  1 X+3 X+2  3  1  2  2  X X+1  1  X X+1 X+1 X+1  1 X+1  1  2 X+2  1 X+3 X+3  2  2
 0  0  0  X  X  0  X  X  X  2  X  0  2 X+2 X+2 X+2  2 X+2 X+2  2  0  0  0  X X+2  2 X+2  2  0 X+2  X  2  X  2  X  X X+2  0  0  2  0  X  X X+2  X  X  0 X+2  0  2  X  X  2  0  X X+2  X  X X+2  0  2  X  X  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+120x^59+193x^60+276x^61+207x^62+296x^63+212x^64+200x^65+84x^66+104x^67+115x^68+64x^69+53x^70+18x^71+13x^72+40x^73+14x^74+20x^75+12x^77+2x^78+2x^79+2x^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 0.27 seconds.