The generator matrix
1 1 1 1 1 1 1 1 2 2X 1
0 X 2X+2 X+2 0 X+2 0 X+2 2X+2 2X 0
0 0 2X 0 0 2X 2X 2X 0 2X 0
0 0 0 2X 2X 2X 2X 0 0 0 0
generates a code of length 11 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+17x^8+88x^9+77x^10+152x^11+86x^12+72x^13+2x^14+8x^15+8x^16+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.