The generator matrix

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

generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+148x^59+197x^60+236x^61+205x^62+306x^63+214x^64+190x^65+101x^66+98x^67+93x^68+82x^69+40x^70+30x^71+16x^72+28x^73+21x^74+26x^75+4x^76+6x^77+1x^78+3x^80+2x^81

The gray image is a code over GF(2) with n=256, k=11 and d=118.
This code was found by Heurico 1.11 in 0.179 seconds.