The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+814x^85+2298x^86+3694x^87+6252x^88+7656x^89+11127x^90+11846x^91+14593x^92+14838x^93+14649x^94+12442x^95+11326x^96+6892x^97+5666x^98+3342x^99+1900x^100+884x^101+423x^102+208x^103+95x^104+74x^105+13x^106+20x^107+9x^108+8x^109+2x^113

The gray image is a code over GF(2) with n=744, k=17 and d=340.
This code was found by Heurico 1.16 in 235 seconds.