The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+158x^83+306x^84+442x^85+534x^86+624x^87+738x^88+686x^89+639x^90+624x^91+616x^92+488x^93+417x^94+414x^95+420x^96+304x^97+205x^98+210x^99+120x^100+84x^101+45x^102+48x^103+36x^104+10x^105+12x^106+2x^108+4x^110+2x^111+1x^112+2x^117

The gray image is a code over GF(2) with n=364, k=13 and d=166.
This code was found by Heurico 1.16 in 6.57 seconds.