The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  0  1  0  1  1  X  1  1  X  1  1  1  2  1  1  X  1  1 X+2  1  1  1  1  1  0  X  1  1  1  1  2 X+2  0  0  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  2  1  2  1  1  1  2  0  1  1  1  1  1  1  1  0  X  1  1  1  1  1  1  X  2  1  1  1
 0  1  1 X+2 X+3  1  0 X+1  1  X  3  1  0 X+1  1  1  1 X+2  1  1 X+1 X+2  1  2  2  1  1  2 X+3  1  X  3  1  0 X+1 X+2 X+1  3  1  1 X+2  0  1  0  1  1  1  1 X+3  0  0 X+3 X+2 X+3  3  X  1 X+2  1  0 X+1  0 X+3  1 X+1  1  3 X+1 X+3  1  1  3  X X+2 X+2  0  1 X+1  0  X  3  2  X X+1 X+3  0  1  1  2  1  0
 0  0  X  0 X+2  0 X+2  0 X+2  X  2 X+2  0  2  0  X X+2  2  2  2  X X+2  X  0 X+2  X X+2  X  X X+2  X  2  0 X+2  2  0  0  2  2  0  X  X  X  X  X  0  0 X+2  0  0  2  2  0  X  2  X X+2  X  X  X X+2 X+2 X+2 X+2  0 X+2 X+2  X  0  2  2 X+2  2  0  0  2  X X+2  X X+2  2  X X+2  0  2 X+2  0  0  X  X  0
 0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  2  2  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  2  2  0  2  0  0  0  0  2  0  0  0  0  2  2  2  0  0  0  2  0  2  2  2  2  0  2  2  2  0  0  0  2  2  2  0  0  0  2  2  2  0  2  0  0  0  2  0  0  2  2  0  0  2  0  2  0  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  0  2  2  0  2  0  0  0  2  0  2  2  2  0  2  2  2  0  2  2  2  0  2  2  0  2  2  0  0  0  2  0  2  2  2  2  2  0  0  2  2  2  0  0  0  2  0  2  0  2  0  2  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2  0  2  0  2  2  2  0  0  0  0  0  2  0  2  2  0  0  0  2  0  2  0  0  0  2  2  2  2  2  2  0  2  2  2  2  0  2  0  0  2  2  0  2  2  0  2  0  2  2  0  2  2  0  0  0  0  0  2  2  2  0  0  2  0  0  2  0  0  2  2  0  0  0  2
 0  0  0  0  0  0  2  0  2  0  0  0  2  2  0  2  2  0  2  0  2  0  0  2  0  2  0  2  2  0  0  2  0  0  0  2  2  2  2  0  2  0  0  2  2  0  2  0  2  0  0  2  0  0  2  2  2  2  0  0  0  2  0  2  0  2  2  2  0  0  0  0  2  2  0  2  0  2  2  2  0  2  2  0  2  0  2  2  0  0  2
 0  0  0  0  0  0  0  2  2  0  0  0  2  0  2  2  0  2  2  2  2  2  2  0  2  0  2  2  2  2  2  2  0  0  2  2  2  2  2  2  2  2  0  2  2  0  2  2  0  2  0  2  2  2  2  0  0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0  0  2  0  0  2  2  0  0  0  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+36x^81+140x^82+136x^83+319x^84+314x^85+606x^86+382x^87+790x^88+458x^89+774x^90+492x^91+770x^92+468x^93+718x^94+350x^95+541x^96+200x^97+260x^98+146x^99+104x^100+50x^101+38x^102+18x^103+22x^104+10x^105+16x^106+8x^107+6x^108+6x^110+2x^111+6x^112+1x^114+2x^115+1x^116+1x^130

The gray image is a code over GF(2) with n=364, k=13 and d=162.
This code was found by Heurico 1.16 in 6.89 seconds.