The generator matrix

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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+198x^81+501x^82+586x^83+830x^84+958x^85+1233x^86+1074x^87+1221x^88+1108x^89+1380x^90+1140x^91+1237x^92+1036x^93+972x^94+752x^95+666x^96+464x^97+389x^98+218x^99+187x^100+90x^101+63x^102+32x^103+16x^104+18x^105+6x^106+4x^107+2x^108+2x^111

The gray image is a code over GF(2) with n=360, k=14 and d=162.
This code was found by Heurico 1.13 in 6.63 seconds.