The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+105x^88+380x^89+495x^90+598x^91+444x^92+414x^93+379x^94+384x^95+284x^96+296x^97+147x^98+70x^99+37x^100+6x^101+17x^102+20x^103+8x^104+8x^105+1x^110+1x^118+1x^132

The gray image is a code over GF(2) with n=744, k=12 and d=352.
This code was found by Heurico 1.16 in 1.22 seconds.