The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+370x^67+236x^68+754x^69+336x^70+1106x^71+356x^72+1022x^73+340x^74+984x^75+279x^76+796x^77+248x^78+538x^79+112x^80+354x^81+80x^82+154x^83+33x^84+46x^85+16x^86+16x^87+7x^88+4x^89+4x^90

The gray image is a code over GF(2) with n=296, k=13 and d=134.
This code was found by Heurico 1.13 in 899 seconds.