The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  2  1  1  X  X  1  2  1  1  1  0  1  0  1  1  2  1  0  X  X X+2  0 X+2  0 X+2 X+2  1  1  1  1  X  X  1  1  1  1  1  1  1  X  X  X  X  2  X  1  1  1  X  1  1  1  1
 0  1  0  0  1  1  1  X  2  3  1  1  2  3  0 X+2  1  1  2  0  3  1  1  1  0  3  1  2  X  2  X  X X+2  2 X+2  0 X+2  X X+2 X+1 X+3  1  1 X+2  X  X X+2 X+1 X+3 X+3  1  1  1  1  0 X+2 X+3 X+1 X+3  X X+2  X X+1 X+1
 0  0  1  1  2  3  1  1  X X+2  X X+3 X+1 X+3  1  1  X  1  3 X+2  1 X+2 X+1  2 X+3  0 X+3  2  1  1  1  1  1  1  1  1  1  0  1 X+2  1  1  X X+1 X+1  X  X  0  0  3  2 X+1 X+3  2  1  1 X+1 X+1  3  1  0  1 X+3  0
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  2  0  2  2  0  0  0  2  2  0  2  0  2  0  0  2  2  0  0  2  0  2  0  2  0  2  0  2  2  2  0  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+105x^60+108x^61+188x^62+148x^63+169x^64+44x^65+66x^66+20x^67+57x^68+40x^69+18x^70+24x^71+12x^72+4x^74+16x^76+2x^78+2x^82

The gray image is a code over GF(2) with n=256, k=10 and d=120.
This code was found by Heurico 1.11 in 0.126 seconds.