The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+66x^66+272x^67+413x^68+470x^69+589x^70+716x^71+739x^72+728x^73+730x^74+606x^75+573x^76+598x^77+447x^78+342x^79+298x^80+218x^81+157x^82+96x^83+50x^84+28x^85+22x^86+12x^87+6x^88+6x^89+3x^90+2x^91+2x^94+2x^95

The gray image is a code over GF(2) with n=296, k=13 and d=132.
This code was found by Heurico 1.16 in 3.75 seconds.