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

generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+66x^58+134x^60+224x^62+236x^64+186x^66+79x^68+52x^70+27x^72+16x^74+2x^76+1x^108

The gray image is a code over GF(2) with n=256, k=10 and d=116.
This code was found by Heurico 1.16 in 0.224 seconds.