The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+470x^87+492x^88+656x^89+344x^90+566x^91+294x^92+452x^93+248x^94+250x^95+138x^96+104x^97+16x^98+34x^99+4x^101+12x^103+8x^107+4x^111+1x^112+2x^116

The gray image is a code over GF(2) with n=728, k=12 and d=348.
This code was found by Heurico 1.16 in 7.91 seconds.