The generator matrix
1 0 0 0 0 1 1 1 1 X^2+X 1 1
0 1 0 0 0 0 X^2+1 X+1 1 1 X^2+1 0
0 0 1 0 0 1 1 X X X+1 X 0
0 0 0 1 0 1 0 1 X 1 0 X^2
0 0 0 0 1 1 X 0 1 X+1 0 X^2
0 0 0 0 0 X X^2 X^2 0 X X^2+X 0
generates a code of length 12 over Z2[X]/(X^3) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+128x^6+640x^7+2071x^8+6272x^9+15104x^10+25856x^11+30928x^12+25856x^13+15104x^14+6272x^15+2071x^16+640x^17+128x^18+1x^24
The gray image is a linear code over GF(2) with n=48, k=17 and d=12.
This code was found by Heurico 1.13 in 3.52 seconds.