The generator matrix

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

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+226x^69+113x^70+356x^71+141x^72+314x^73+91x^74+238x^75+52x^76+136x^77+62x^78+118x^79+11x^80+74x^81+19x^82+34x^83+17x^84+34x^85+3x^86+6x^87+1x^88+1x^92

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 0.41 seconds.