The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+32x^82+50x^83+98x^84+242x^85+178x^86+506x^87+247x^88+760x^89+273x^90+980x^91+237x^92+1068x^93+236x^94+980x^95+262x^96+760x^97+211x^98+506x^99+132x^100+242x^101+60x^102+50x^103+18x^104+13x^106+14x^108+13x^110+7x^112+5x^114+6x^116+1x^120+2x^122+1x^124+1x^126

The gray image is a code over GF(2) with n=372, k=13 and d=164.
This code was found by Heurico 1.16 in 7.12 seconds.