The generator matrix

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

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+280x^60+128x^62+233x^64+128x^66+236x^68+4x^72+12x^76+2x^96

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 0.217 seconds.