The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+72x^83+293x^84+386x^85+703x^86+676x^87+1014x^88+984x^89+1362x^90+998x^91+1318x^92+1140x^93+1399x^94+988x^95+1237x^96+830x^97+909x^98+544x^99+491x^100+314x^101+303x^102+144x^103+112x^104+48x^105+46x^106+22x^107+10x^108+8x^109+11x^110+8x^111+4x^112+2x^113+3x^114+4x^115

The gray image is a code over GF(2) with n=372, k=14 and d=166.
This code was found by Heurico 1.16 in 20.2 seconds.