The generator matrix
1 0 1 1 1 2 1 1 X 1 1
0 1 1 2X+2 3X+1 1 X 0 3X 2X+2 0
0 0 X X 2X+2 3X+2 3X X+2 3X+2 2X+2 2X
0 0 0 2X 0 0 2X 2X 0 2X 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+92x^8+336x^9+744x^10+1760x^11+740x^12+336x^13+72x^14+15x^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 0.015 seconds.