The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+90x^87+287x^88+248x^89+529x^90+288x^91+576x^92+236x^93+589x^94+210x^95+404x^96+232x^97+217x^98+60x^99+45x^100+20x^101+4x^102+24x^103+29x^104+4x^106+1x^108+1x^110+1x^144

The gray image is a code over GF(2) with n=744, k=12 and d=348.
This code was found by Heurico 1.16 in 1.37 seconds.