The generator matrix
1 0 0 1 1 1 X^3+X 1 1 X^3+X 1
0 1 0 1 X^2+X X^2+X+1 1 X^3+X+1 X^3+X^2+1 X^2+X X^3+X^2+X+1
0 0 1 1 X+1 X X^2+1 X^2+X+1 X^3+X+1 1 X^3+1
0 0 0 X^3 0 0 0 X^3 X^3 X^3 0
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+96x^8+768x^9+1512x^10+3472x^11+1484x^12+736x^13+104x^14+16x^15+3x^16
The gray image is a linear code over GF(2) with n=88, k=13 and d=32.
This code was found by Heurico 1.16 in 0.125 seconds.