The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+174x^82+464x^83+620x^84+848x^85+1020x^86+1140x^87+1159x^88+1196x^89+1261x^90+1224x^91+1240x^92+1138x^93+1061x^94+912x^95+762x^96+588x^97+467x^98+406x^99+281x^100+184x^101+91x^102+66x^103+26x^104+8x^105+20x^106+10x^107+7x^108+6x^109+2x^111+2x^114

The gray image is a code over GF(2) with n=364, k=14 and d=164.
This code was found by Heurico 1.16 in 18 seconds.