The generator matrix

 1  0  0  1  1  1  2  0  0  2  1  1  1  1  X  1  0  1  1  1  2  1  0  2  1  1  1  0  0  0 X+2  X X+2  X X+2  X X+2  X  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  2  1  X X+2  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2 X+2  1  1  1  X  2
 0  1  0  0  1  1  1  X  1  1  X X+1  X X+1  1  1  2  1  X X+1  1  X  1  1  0  0 X+1  1  2 X+2  1  1  1  1  1  1  1  0  X X+1  X X+1  X  2  3  2  3 X+2 X+1  0 X+3  0  1  1  X  X  2  X X+3 X+2 X+2 X+3  X X+2 X+1 X+3 X+3  3  3 X+3  X  X  2  0  X  3  2 X+2  1
 0  0  1  1  2  3  1  1  X X+1  2  1  3  0  0 X+3  1 X+2 X+2 X+1 X+1 X+3  2  3 X+1  X  X  X  1  1  1  X X+1  1  0 X+3 X+2  1  0 X+2  1 X+3  1 X+3 X+2  0  3 X+3  3 X+2  2  1  2 X+3  1 X+2  1  1 X+1 X+2  0 X+3  2  X X+1 X+3  1 X+3 X+1  3  X  1  1  1  0 X+3  3  2  2
 0  0  0  2  0  2  2  2  2  0  2  0  0  2  0  2  2  0  2  0  2  0  2  0  2  0  2  0  0  2  0  0  0  2  2  2  2  0  0  0  2  2  0  0  2  2  0  2  2  2  0  0  2  0  0  0  2  2  0  2  0  2  0  2  2  0  0  2  0  2  2  0  2  2  2  0  0  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+136x^75+141x^76+184x^77+110x^78+140x^79+34x^80+44x^81+32x^82+44x^83+23x^84+56x^85+32x^86+28x^87+4x^88+4x^89+4x^91+4x^92+2x^94+1x^104

The gray image is a code over GF(2) with n=316, k=10 and d=150.
This code was found by Heurico 1.11 in 0.268 seconds.