The generator matrix

 1  0  1  1  1 X^3 X^2+X  1  X  1  1
 0  1 X+1 X^3+X^2+X X^2+1  1  1 X^3  X X^2+X X^3+X
 0  0 X^2 X^3+X^2 X^3 X^2  0 X^2 X^3+X^2  0 X^3

generates a code of length 11 over Z2[X]/(X^4) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+92x^9+250x^10+368x^11+214x^12+76x^13+14x^14+8x^15+1x^16

The gray image is a linear code over GF(2) with n=88, k=10 and d=36.
This code was found by Heurico 1.16 in 0.046 seconds.