The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+86x^84+984x^85+2181x^86+4156x^87+5458x^88+8224x^89+10384x^90+13044x^91+13615x^92+15072x^93+14169x^94+13288x^95+10114x^96+7800x^97+5058x^98+3540x^99+1865x^100+1130x^101+438x^102+260x^103+91x^104+54x^105+21x^106+16x^107+2x^108+14x^109+4x^110+2x^113+1x^114

The gray image is a code over GF(2) with n=744, k=17 and d=336.
This code was found by Heurico 1.16 in 216 seconds.