The generator matrix
1 1 1 1 1 1 1 1 X X 1
0 2 0 2X+2 0 2X 2 2 2X 0 0
0 0 2 2X+2 0 2X+2 2X+2 2X 2X+2 2 0
0 0 0 2X 2X 2X 0 2X 0 0 0
generates a code of length 11 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+21x^8+48x^9+9x^10+352x^11+10x^12+48x^13+22x^14+1x^18
The gray image is a code over GF(2) with n=88, k=9 and d=32.
This code was found by Heurico 1.16 in -1.01e-007 seconds.