The generator matrix

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

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+132x^80+16x^81+238x^82+96x^83+626x^84+240x^85+712x^86+336x^87+956x^88+336x^89+916x^90+336x^91+917x^92+336x^93+712x^94+240x^95+547x^96+96x^97+238x^98+16x^99+88x^100+31x^104+13x^108+10x^112+4x^116+3x^120

The gray image is a code over GF(2) with n=360, k=13 and d=160.
This code was found by Heurico 1.16 in 7.92 seconds.