The generator matrix

 1  1  1  1  X  1  1  1  1  1  1  1
 0 X^3+X^2  0 X^3+X^2 X^3+X^2  0 X^3+X^2  0 X^3 X^3  0  0
 0  0 X^3  0  0 X^3  0 X^3 X^3  0  0  0
 0  0  0 X^3  0 X^3 X^3 X^3  0  0  0  0
 0  0  0  0 X^3 X^3 X^3  0 X^3  0  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+22x^8+4x^9+1x^10+60x^11+336x^12+60x^13+7x^14+4x^15+9x^16+7x^18+1x^22

The gray image is a linear code over GF(2) with n=96, k=9 and d=32.
This code was found by Heurico 1.16 in 3.62e-008 seconds.