The generator matrix
1 0 1 1 1 X^2+X 1 1 X^3+X^2 1 1 1
0 1 X+1 X^2+X X^2+1 1 X^3+X^2 X^3+X^2+X+1 1 X^2+1 X+1 X+1
0 0 X^3 0 0 0 X^3 X^3 0 0 X^3 0
0 0 0 X^3 0 0 X^3 0 0 X^3 X^3 0
0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0
0 0 0 0 0 X^3 X^3 0 X^3 0 X^3 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+28x^8+48x^9+222x^10+1168x^11+1164x^12+1168x^13+220x^14+48x^15+23x^16+6x^18
The gray image is a linear code over GF(2) with n=96, k=12 and d=32.
This code was found by Heurico 1.16 in 0.016 seconds.