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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+52x^65+109x^66+138x^67+208x^68+228x^69+235x^70+284x^71+289x^72+374x^73+413x^74+346x^75+301x^76+284x^77+214x^78+138x^79+124x^80+72x^81+82x^82+64x^83+33x^84+40x^85+30x^86+18x^87+2x^88+6x^89+4x^90+4x^91+2x^92+1x^110

The gray image is a code over GF(2) with n=296, k=12 and d=130.
This code was found by Heurico 1.16 in 1.7 seconds.