The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+94x^81+194x^82+538x^83+420x^84+956x^85+810x^86+1236x^87+785x^88+1474x^89+937x^90+1838x^91+950x^92+1422x^93+816x^94+1210x^95+566x^96+716x^97+340x^98+476x^99+179x^100+186x^101+80x^102+70x^103+30x^104+12x^105+15x^106+4x^107+10x^108+4x^109+6x^110+4x^111+1x^112+2x^114+1x^116+1x^120

The gray image is a code over GF(2) with n=364, k=14 and d=162.
This code was found by Heurico 1.16 in 62.4 seconds.