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  1  1  2  2  1  0  1  0  1  2  1  2  1  1  2  1 X+2  1 X+2  1  1  X  1  0  1  0  X X+2  0  1  1  1  1  X  1  1 X+2 X+2  X  0  X  1  1 X+2  2  0  1  1  1  1  1  1  1  1  1  1  0  1  1  1  2  1  0  1  0  0  1  X  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  0 X+1  1  1  X  2  1  X  1 X+1  0  3 X+2  X  2  1  X  1 X+3  1  0  2  0  1  1 X+1  1  1  0  X X+3  X  0  X  1  0  X X+2  1  1  1  0  1 X+2  1  0 X+2  1 X+3  2 X+2 X+3  2  1  3  1  1  1 X+2  X  X  1 X+2  1 X+2 X+2  2  2  2  0
 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  3 X+3  X  1  1  X X+2 X+2 X+1 X+2  1 X+3  1  3 X+2 X+1  3 X+3  3  2 X+1  1  1  X  X X+3  3  1  1  1 X+2 X+2 X+2  3 X+1  0  3  1  0 X+3  2  1  2 X+2 X+2  1  1  2  0 X+3 X+3  X  X  2 X+2  2  3 X+2 X+1 X+3 X+1  X  0 X+1 X+1  1  1 X+1  2  0
 0  0  0  2  0  0  0  0  2  2  0  0  0  2  2  0  2  0  2  2  2  2  2  2  0  2  0  2  2  2  0  0  0  2  2  2  0  0  2  0  2  0  0  0  2  0  2  0  2  0  2  0  2  0  0  2  2  0  2  0  0  2  0  0  2  0  0  2  2  0  2  0  2  0  0  2  2  0  2  0  2  2  0  2  0  2  0  2  2  2  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  0  0  2  0  2  2  2  2  0  0  0  2  0  0  2  0  2  2  2  2  0  0  2  2  2  0  2  2  0  2  0  2  2  2  0  2  2  2  2  0  2  2  0  2  2  2  2  0  0  2  0  2  2  0  2  0  2  2  2  0  2  0  0  2  0  2  0  2  2  0  0  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  2  2  2  2  0  2  2  2  2  0  2  0  2  0  0  2  2  0  2  0  0  0  0  2  2  2  0  0  2  2  2  2  0  2  2  2  0  0  2  2  0  2  2  0  2  2  0  2  0  2  0  2  0  2  0  0  0  2  0  0  2  0  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  2  0  2  2  2  2  2  2  2  0  0  0  0  0  2  0  0  2  2  0  2  2  0  0  2  0  2  0  0  0  2  2  0  0  0  2  2  2  0  2  2  2  2  2  0  2  0  0  0  2  2  2  2  0  2  0  0  2  2  0  0  2  0  0  0  0  2  2  0  0  0  0  0  0  2  0
 0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  2  0  0  0  0  0  2  2  2  2  2  0  2  0  0  2  0  2  0  0  0  2  2  2  0  0  0  0  0  2  2  2  0  2  0  0  2  0  0  0  0  2  2  0  0  0  2  0  2  0  2  2  2  2  2  0  0  0  2  2  2  2  0  0  0  2  0  0  0  2  0  2  2  0  0  2  0  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+29x^82+94x^83+287x^84+448x^85+648x^86+762x^87+912x^88+998x^89+1115x^90+1182x^91+1180x^92+1334x^93+1186x^94+1256x^95+1081x^96+924x^97+809x^98+610x^99+527x^100+314x^101+250x^102+160x^103+78x^104+68x^105+44x^106+24x^107+20x^108+8x^109+12x^110+6x^111+8x^112+2x^113+2x^114+2x^115+2x^116+1x^122

The gray image is a code over GF(2) with n=372, k=14 and d=164.
This code was found by Heurico 1.16 in 20.3 seconds.