The generator matrix

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

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+124x^88+404x^89+518x^90+456x^91+461x^92+404x^93+438x^94+400x^95+282x^96+300x^97+166x^98+72x^99+27x^100+12x^101+10x^102+8x^104+4x^106+2x^108+6x^116+1x^120

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 1.02 seconds.