The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^83+970x^84+1996x^85+4728x^86+6956x^87+11013x^88+15688x^89+21223x^90+23768x^91+29595x^92+29218x^93+29489x^94+25542x^95+21808x^96+15394x^97+11287x^98+5950x^99+3751x^100+1744x^101+981x^102+510x^103+236x^104+74x^105+60x^106+18x^107+14x^108+8x^109+6x^110+8x^111+2x^112+4x^113+2x^114+2x^116+2x^117

The gray image is a code over GF(2) with n=744, k=18 and d=332.
This code was found by Heurico 1.16 in 881 seconds.