The generator matrix

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

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+224x^87+692x^88+598x^89+680x^90+452x^91+384x^92+286x^93+212x^94+132x^95+192x^96+56x^97+82x^98+56x^99+25x^100+16x^101+1x^102+4x^103+1x^106+1x^108+1x^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 0.531 seconds.