The generator matrix
1 1 1 1 1 1 X X X 1 1
0 X 0 X X^3 0 X X^2+X X^2 X^3 X^2
0 0 X X X^2 X^2+X X X^2 X X^2+X 0
0 0 0 X^2 0 X^3 0 X^2 X^3 X^2 X^2
generates a code of length 11 over Z2[X]/(X^4) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+178x^8+216x^9+968x^10+1368x^11+992x^12+200x^13+152x^14+8x^15+13x^16
The gray image is a linear code over GF(2) with n=88, k=12 and d=32.
This code was found by Heurico 1.16 in 0.75 seconds.