The generator matrix

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

generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+351x^60+335x^64+320x^68+16x^72+1x^124

The gray image is a code over GF(2) with n=256, k=10 and d=120.
This code was found by Heurico 1.16 in 0.186 seconds.