The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+10x^9+31x^10+176x^11+30x^12+2x^13+1x^14+4x^15+1x^20

The gray image is a code over GF(2) with n=88, k=8 and d=36.
This code was found by Heurico 1.16 in -3.24e-008 seconds.