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

generates a code of length 91 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+139x^86+482x^87+325x^88+528x^89+410x^90+498x^91+316x^92+552x^93+323x^94+246x^95+131x^96+104x^97+4x^98+2x^99+8x^100+12x^101+2x^102+4x^105+2x^107+2x^108+1x^112+2x^115+2x^118

The gray image is a code over GF(2) with n=728, k=12 and d=344.
This code was found by Heurico 1.16 in 0.953 seconds.