The generator matrix

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

generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+96x^61+62x^62+64x^63+63x^64+160x^65+64x^69+2x^94

The gray image is a code over GF(2) with n=256, k=9 and d=122.
This code was found by Heurico 1.16 in 0.213 seconds.