The generator matrix
1 0 0 1 1 1 X^2+X 1 X^3 X^3+X^2+X X^3+X^2 1
0 1 0 X^2 1 X^2+X+1 1 X^3+X 1 1 0 1
0 0 1 X^2+X+1 1 X X+1 X^2+X X X^2+X+1 1 1
0 0 0 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 9.
Homogenous weight enumerator: w(x)=1x^0+212x^9+548x^10+1840x^11+3012x^12+1832x^13+520x^14+208x^15+11x^16+4x^17+4x^18
The gray image is a linear code over GF(2) with n=96, k=13 and d=36.
This code was found by Heurico 1.16 in 0.125 seconds.