The generator matrix

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

generates a code of length 12 over Z2[X]/(X^3) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+18x^10+46x^11+27x^12+4x^13+13x^14+14x^15+4x^16+1x^18

The gray image is a linear code over GF(2) with n=48, k=7 and d=20.
This code was found by Heurico 1.16 in 0.000508 seconds.