The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+92x^80+4x^81+92x^82+24x^83+350x^84+80x^85+228x^86+228x^87+501x^88+440x^89+372x^90+800x^91+530x^92+976x^93+328x^94+728x^95+486x^96+484x^97+324x^98+232x^99+332x^100+64x^101+180x^102+36x^103+158x^104+12x^106+58x^108+37x^112+10x^116+4x^120+1x^136

The gray image is a code over GF(2) with n=372, k=13 and d=160.
This code was found by Heurico 1.16 in 10.7 seconds.