The generator matrix

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

generates a code of length 12 over Z2[X]/(X^4) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+19x^8+48x^9+161x^10+464x^11+602x^12+592x^13+90x^14+48x^15+18x^16+5x^18

The gray image is a linear code over GF(2) with n=96, k=11 and d=32.
This code was found by Heurico 1.16 in 0.016 seconds.