The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1  2 X+2  1  1  1 X+2  1  X  1 X+2  1  1  1  X X+2  1  2  2  0  1  X  1  2  1 X+2  1  2  1  1  2  1  2  1  1  1  1  2  1  1  1  1  X  X  0  1  0  1  X  0 X+2  1  1  1  X  X X+2  1  2  0  1  1
 0  1  0  0  1  3  1  X  1  1  2  1 X+1 X+2  1 X+3  X X+1  0 X+2  1  3  1  1  2  0  1  2  0  1  1  1  X  X X+1  2 X+1  1  0  1  3 X+3 X+2 X+2  1 X+2  2  1 X+2  1 X+3 X+1  2  3  1  1  1 X+1  1 X+2  X  1  1  1  3  2  1  1  1 X+3  1  1 X+3  1
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3  0  1  X X+2 X+1 X+3  1  X  1  X X+3 X+3 X+1 X+2  2  1  3  2 X+1  1  0  1  1  1 X+2 X+2  3 X+3  X  1  1  X X+3  0  0  1 X+1  2  X  3  X  0 X+3  1  X X+1 X+2 X+3  1  3  1 X+3  3  0  2 X+2  3  1 X+3 X+2 X+3  3
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  0  0  2  0  2  2  2  0  2  2  0  0  2  0  0  2  0  0  0  2  2  2  0  0  2  0  2  2  2  0  0  2  0  2  0  2  2  0  2  2  0  2  0  2  0  0  2  0  2  2  0  0  0  0
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  0  2  0  2  2  0  0  0  0  2  2  2  2  0  0  0  2  0  2  0  0  2  2  2  2  0  2  2  0  0  2  0  0  0  2  0  0  2  0  2  2  2  2  0  2  0  0  0  2  2  0  0  2  0  0  2  0  2  0

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+200x^69+118x^70+372x^71+112x^72+324x^73+136x^74+224x^75+56x^76+180x^77+32x^78+108x^79+18x^80+60x^81+16x^82+24x^83+36x^85+18x^86+8x^87+4x^88+1x^96

The gray image is a code over GF(2) with n=296, k=11 and d=138.
This code was found by Heurico 1.16 in 0.465 seconds.