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  X  0  1  1  X X^2+2  X  0  X X^2+2  X  X  X  2  X X^2  X  X  X  X  2 X^2  1  1  1  1  1  1  1  1  X  X  1  X  X  1  1  1  1  1  1  1 X^2  0 X^2 X^2 X^2 X^2  X  0  2  X  X  X  2  0  X X^2  X X^2  X  1
 0  X X^2+2 X^2+X  0 X^2+X X^2+2 X+2  2 X^2+X+2 X^2 X+2  2 X^2+X+2 X^2  X  0 X^2+X X^2+2 X+2  0 X^2+X X^2+2 X+2  2 X^2+X+2 X^2  X  2 X^2+X+2 X^2+X  X X^2  X X+2  X X^2+X  X X+2  X  0 X^2+2 X^2+X+2  X  X  X  2 X^2 X^2+X+2  X  X  X  0 X^2+2 X^2+X X+2  2 X^2  0 X^2+2  0 X^2+2 X+2  2 X^2 X^2+X  2 X^2 X^2+X+2  X X^2+X+2  X X^2+2 X^2  0  2 X^2+2 X^2 X+2  X  X X^2+X X^2+X+2  X  X  X X+2  0 X^2+X X^2 X^2+2  0
 0  0  2  2  2  0  0  2  2  2  0  0  0  0  2  2  0  0  2  2  2  2  0  0  2  2  0  0  0  0  2  0  2  2  0  2  0  2  2  0  2  2  2  0  0  2  2  2  0  2  2  0  0  0  0  0  0  0  2  2  0  0  2  0  0  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  0  0  0  2  0  2  0  2  0  0  0

generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+17x^90+86x^91+43x^92+70x^93+25x^94+2x^95+3x^96+2x^97+1x^98+1x^100+5x^102

The gray image is a code over GF(2) with n=736, k=8 and d=360.
This code was found by Heurico 1.16 in 0.906 seconds.