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

generates a code of length 94 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+112x^85+885x^86+2338x^87+4084x^88+5942x^89+8064x^90+10464x^91+12327x^92+14102x^93+14729x^94+13960x^95+13112x^96+10866x^97+7554x^98+5126x^99+3369x^100+1920x^101+1142x^102+510x^103+225x^104+124x^105+40x^106+58x^107+1x^108+6x^109+2x^110+6x^111+1x^116+2x^119

The gray image is a code over GF(2) with n=752, k=17 and d=340.
This code was found by Heurico 1.16 in 235 seconds.