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

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+27x^90+38x^91+404x^92+16x^93+4x^94+8x^95+11x^96+1x^122+2x^123

The gray image is a code over GF(2) with n=736, k=9 and d=360.
This code was found by Heurico 1.16 in 0.922 seconds.