The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+43x^80+30x^81+100x^82+214x^83+177x^84+510x^85+227x^86+792x^87+256x^88+996x^89+278x^90+1060x^91+250x^92+996x^93+226x^94+792x^95+201x^96+510x^97+130x^98+214x^99+74x^100+30x^101+30x^102+4x^104+13x^106+10x^108+10x^110+7x^112+5x^114+1x^116+3x^118+1x^122+1x^130

The gray image is a code over GF(2) with n=364, k=13 and d=160.
This code was found by Heurico 1.16 in 6.63 seconds.