The generator matrix

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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+60x^79+154x^80+256x^81+392x^82+534x^83+693x^84+852x^85+971x^86+1132x^87+1285x^88+1344x^89+1389x^90+1260x^91+1205x^92+1188x^93+960x^94+734x^95+570x^96+452x^97+287x^98+196x^99+150x^100+108x^101+65x^102+42x^103+29x^104+20x^105+26x^106+10x^107+7x^108+4x^109+4x^110+1x^112+1x^114+1x^116+1x^122

The gray image is a code over GF(2) with n=360, k=14 and d=158.
This code was found by Heurico 1.16 in 22.5 seconds.