The generator matrix

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

generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+248x^75+144x^76+328x^77+84x^78+288x^79+130x^80+264x^81+24x^82+184x^83+77x^84+76x^85+20x^86+76x^87+12x^88+32x^89+24x^91+18x^92+4x^93+12x^95+1x^96+1x^100

The gray image is a code over GF(2) with n=320, k=11 and d=150.
This code was found by Heurico 1.16 in 8.42 seconds.