The generator matrix

 1  0  1  1  1  2  X  1  1  1 X+2  1  1  1  1  0  1  0  1  1  X  1  1  X  1  1  2  1  1  2  0  1  1  1 X+2  1  X  1  2  1  1 X+2  1 X+2  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  X  1  1  1  0  X  1  1  1  1  1  X  1  1  1  1  1
 0  1  1 X+2 X+3  1  1 X+1  X  3  1 X+2 X+2  2 X+1  1 X+1  1  2  1  1  2  1  1  0 X+3  1 X+2  1  1  1  2 X+3  X  1  1  1  0  1  0  X  1  X  1 X+3  3 X+2 X+3  1 X+1  3 X+1  3 X+1  3 X+1  3 X+3 X+1  1  X  3 X+3  2  1  1 X+3  X  X  0  2  2  2  X X+2  0  0  0  0  2
 0  0  X  0 X+2  X  X  2  X  2  0  0 X+2  X  2  0  X X+2  0 X+2  0 X+2  2 X+2  0  X  X  0  X X+2  0 X+2  2 X+2  0  2  X  0  0  X  0 X+2  X  0  2  2  2  X  X X+2 X+2  X X+2  0  2  0  2 X+2 X+2  X X+2  0  2  2 X+2  0  2  2  X  2  0  X  X  2  2 X+2 X+2  0  2  0
 0  0  0  2  0  2  2  2  0  2  0  2  0  2  0  2  2  0  0  2  2  2  0  0  2  0  0  0  2  2  0  0  0  2  0  2  0  2  2  0  0  2  2  2  2  0  2  0  2  0  0  2  2  0  0  2  2  2  2  0  2  2  0  0  0  0  2  2  0  0  2  2  0  2  0  0  2  2  2  2
 0  0  0  0  2  2  0  0  2  2  2  2  0  2  2  0  0  2  2  2  2  0  0  0  2  0  0  2  0  0  2  2  2  2  0  2  2  0  2  0  0  2  0  0  0  0  2  2  2  0  2  2  0  0  2  2  0  2  0  2  0  0  0  2  0  2  2  0  2  2  2  0  0  0  0  2  2  2  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+32x^75+168x^76+56x^77+192x^78+56x^79+140x^80+56x^81+116x^82+24x^83+89x^84+8x^85+40x^86+8x^87+10x^88+8x^89+4x^90+8x^91+2x^92+1x^96+4x^108+1x^116

The gray image is a code over GF(2) with n=320, k=10 and d=150.
This code was found by Heurico 1.16 in 0.409 seconds.