The generator matrix

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

generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+90x^75+155x^76+264x^77+97x^78+104x^79+32x^80+72x^81+12x^82+26x^83+43x^84+40x^85+32x^86+36x^87+8x^88+2x^90+8x^93+1x^96+1x^102

The gray image is a code over GF(2) with n=316, k=10 and d=150.
This code was found by Heurico 1.16 in 0.297 seconds.