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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+96x^64+16x^65+255x^66+44x^67+355x^68+128x^69+468x^70+208x^71+408x^72+248x^73+536x^74+192x^75+322x^76+112x^77+260x^78+64x^79+139x^80+8x^81+107x^82+4x^83+67x^84+32x^86+19x^88+6x^90+1x^104

The gray image is a code over GF(2) with n=292, k=12 and d=128.
This code was found by Heurico 1.16 in 1.6 seconds.