The generator matrix

 1  0  0  0  0  1  1  1  2  1  1  1  1  X  2 X+2 X+2  1  1  1  1 X+2  2 X+2  1  1  1  1  X  1  1  0  1  1 X+2  0 X+2  2  1  1  1  1 X+2 X+2  X  X  1 X+2  0  1  2 X+2  2 X+2  1  1 X+2  1  1  X  1  X  1  1  1  2  0  2  1  2  1  1  X X+2  1  1  0  1  X  1  X X+2  1  0  1  1  1  X X+2  1
 0  1  0  0  0  0  0  0  0  2  0  2  0  2  2  2  0  2  2  0  2  0  2  1 X+3  1 X+1  1  1 X+3  3  1  3 X+1  X  1  1  1  X  3 X+2  X  1  1 X+2  1 X+2  1 X+2  3  X  1  1  X  3 X+2  1  1 X+3 X+2  3  1  0  X  3  0  1  1  X  X  3 X+1  1 X+2 X+3 X+1  X X+1  1 X+1  1 X+2  1  0 X+3  0 X+3  1  1  2
 0  0  1  0  0  2  1  3  1  X X+3  0  3  1  1 X+2  0 X+3  X X+2 X+1  2  1  1 X+2  1  X  1  3 X+2 X+1 X+3  X  1  1 X+1 X+2  X X+1  2 X+1  X  2  3 X+2  0  0  X  1  1  2  X  3  1  2  0 X+3  0 X+1  1  0 X+1  X  1 X+3  0  X X+2 X+1  1 X+1 X+1  1  1  0  0  X X+3  X  1  2  0 X+3  1  X X+1  1 X+3  1  0
 0  0  0  1  0  3  1  2  3  0  0 X+1 X+1  3  2  1  1  X  3  X X+3  X  X  3 X+2 X+3  0  X  2  1  1  1 X+3  2  X X+2  X  1 X+2  0 X+1  1 X+1  1  1  2 X+2  0  0  0  1  3  2 X+1  2  1 X+2  0 X+2  X X+2  1  X X+2  0  1 X+3 X+2  1  3  3 X+2 X+3  2  3  X  1  1  0 X+1 X+2  1  X X+2 X+3  2 X+2  0  1  0
 0  0  0  0  1  1  2  3  3 X+1  X  X X+1  0 X+3 X+2  3 X+1 X+3  3 X+2  1  2 X+1  0  0  3  1 X+2 X+2  3  X X+3  X  3  1 X+3  3  2  1  1 X+2  2  3 X+1  3  0 X+2 X+1  2  2  0  3  0 X+2 X+2  2 X+1  X X+2  1  2 X+1 X+3 X+1 X+1  3 X+1  0  1 X+3 X+1 X+2  2 X+1  2  X  1  1  2  0 X+2  2 X+3  0  3 X+2  2 X+3 X+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+180x^80+546x^81+951x^82+1104x^83+1709x^84+1828x^85+2001x^86+1990x^87+2670x^88+2304x^89+2731x^90+2332x^91+2406x^92+2050x^93+2081x^94+1552x^95+1377x^96+932x^97+850x^98+434x^99+305x^100+210x^101+110x^102+64x^103+24x^104+2x^105+12x^106+10x^107+2x^111

The gray image is a code over GF(2) with n=360, k=15 and d=160.
This code was found by Heurico 1.13 in 23.1 seconds.