The generator matrix

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

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+114x^80+16x^81+320x^82+48x^83+547x^84+156x^85+598x^86+224x^87+807x^88+316x^89+820x^90+476x^91+816x^92+388x^93+682x^94+236x^95+569x^96+132x^97+306x^98+36x^99+218x^100+16x^101+164x^102+4x^103+95x^104+50x^106+26x^108+4x^110+5x^112+1x^116+1x^128

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 9.22 seconds.