The generator matrix

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

generates a code of length 11 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+65x^8+404x^9+728x^10+1668x^11+846x^12+284x^13+80x^14+12x^15+8x^16

The gray image is a code over GF(2) with n=88, k=12 and d=32.
This code was found by Heurico 1.16 in 0.016 seconds.