The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+152x^83+786x^84+2346x^85+4394x^86+7052x^87+10664x^88+15698x^89+20863x^90+25450x^91+28941x^92+29462x^93+29008x^94+26184x^95+20744x^96+15654x^97+10596x^98+6508x^99+3917x^100+1956x^101+886x^102+442x^103+216x^104+108x^105+40x^106+48x^107+10x^108+6x^109+2x^110+2x^111+1x^112+3x^114+2x^115+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 889 seconds.