The generator matrix

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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+198x^64+16x^65+74x^66+144x^67+176x^68+192x^69+58x^70+288x^71+174x^72+272x^73+68x^74+80x^75+124x^76+32x^77+36x^78+82x^80+18x^82+12x^84+2x^86+1x^112

The gray image is a code over GF(2) with n=284, k=11 and d=128.
This code was found by Heurico 1.16 in 0.576 seconds.