The generator matrix

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

generates a code of length 80 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+156x^75+642x^76+1102x^77+1123x^78+1098x^79+1035x^80+692x^81+699x^82+484x^83+351x^84+286x^85+214x^86+182x^87+81x^88+8x^89+10x^90+24x^91+1x^92+1x^94+1x^96+1x^98

The gray image is a code over GF(2) with n=640, k=13 and d=300.
This code was found by Heurico 1.16 in 1.03 seconds.