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

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+126x^64+16x^65+202x^66+52x^67+218x^68+104x^69+286x^70+156x^71+238x^72+128x^73+176x^74+44x^75+128x^76+8x^77+64x^78+4x^79+43x^80+38x^82+13x^84+2x^86+1x^116

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 0.548 seconds.