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

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+23x^58+16x^59+64x^60+144x^61+64x^62+272x^63+31x^64+272x^65+8x^66+8x^68+16x^69+16x^70+16x^71+16x^72+16x^73+16x^74+16x^75+8x^76+1x^122

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 0.233 seconds.