The generator matrix

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

generates a code of length 12 over Z2[X]/(X^4) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+19x^10+40x^11+135x^12+40x^13+20x^14+1x^22

The gray image is a linear code over GF(2) with n=96, k=8 and d=40.
This code was found by Heurico 1.16 in -1.01e-007 seconds.