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

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+62x^64+90x^65+123x^66+180x^67+217x^68+280x^69+261x^70+358x^71+363x^72+330x^73+427x^74+328x^75+254x^76+228x^77+138x^78+106x^79+91x^80+74x^81+56x^82+42x^83+31x^84+20x^85+17x^86+8x^87+3x^88+2x^89+1x^90+2x^91+2x^92+1x^114

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 1.57 seconds.