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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+141x^80+4x^81+140x^82+52x^83+299x^84+96x^85+270x^86+128x^87+496x^88+232x^89+472x^90+232x^91+464x^92+128x^93+268x^94+96x^95+245x^96+52x^97+108x^98+4x^99+92x^100+22x^102+23x^104+20x^108+5x^112+5x^116+1x^136

The gray image is a code over GF(2) with n=360, k=12 and d=160.
This code was found by Heurico 1.16 in 3.43 seconds.