The generator matrix

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

generates a code of length 11 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+92x^9+250x^10+368x^11+214x^12+76x^13+14x^14+8x^15+1x^16

The gray image is a code over GF(2) with n=88, k=10 and d=36.
This code was found by Heurico 1.16 in 3.62e-008 seconds.