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  0  X X^2+2  X  0  X X^2+2  X  0  X X^2+2  X  X  X  0  X X^2+2  X  X  X  X  1  1  1  1  1  1  X  X  X  X  1  1  2 X^2  2 X^2  X  X  X  X  2 X^2  2 X^2  1  1  1  1  1  1  1  1  X  X  X  X  0  X
 0  X X^2+2 X^2+X  0 X^2+X X^2+2 X+2  0 X^2+X X^2+2 X+2  0 X^2+X X^2+2  X  2 X^2+X+2 X^2  X  2 X^2+X+2 X^2 X+2  2 X^2+X+2 X^2  X  2 X^2+X+2 X^2 X+2 X^2+X  X X+2  X X^2+X  X X+2  X X^2+X  X X+2  X  0 X^2+2 X^2+X  X X+2  X  0 X^2+2  0 X^2+2  0  2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+X+2  X X^2+X+2  X  0  2  X  X  X  X X^2+X+2  X X^2+X+2  X  X  X  X  X  0  2  0  2 X^2 X^2 X^2 X^2  2 X^2 X^2+X X+2 X^2 X^2+X
 0  0  2  0  0  2  2  2  2  0  0  2  2  2  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  0  0  0  0  2  2  0  0  2  2  2  2  0  0  2  2  2  2  0  0  0  0  2  2  0  2  0  2  0  2  2  0  2  0  0  2  2  2  0  0  0  2  0  2  2  2  0  0  2  0  2  0  2  2  0  0  0  0  0  0  2  0
 0  0  0  2  2  2  2  0  2  0  0  2  0  0  2  2  0  0  2  2  2  2  0  0  2  2  0  0  0  0  2  2  0  2  2  0  2  0  0  2  2  0  0  2  2  2  0  2  2  0  2  2  0  0  0  0  2  2  0  0  0  0  2  2  2  2  0  2  2  0  2  0  0  2  2  0  0  2  2  2  0  0  0  2  2  0  0  0  0  2  2  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+96x^90+128x^91+56x^92+128x^93+92x^94+7x^96+3x^102+1x^134

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.