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

generates a code of length 92 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+138x^87+449x^88+476x^89+336x^90+450x^91+543x^92+418x^93+286x^94+418x^95+365x^96+124x^97+44x^98+8x^99+14x^100+6x^101+6x^102+2x^103+1x^104+4x^107+2x^111+2x^115+2x^116+1x^124

The gray image is a code over GF(2) with n=736, k=12 and d=348.
This code was found by Heurico 1.16 in 1.08 seconds.