The generator matrix

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

generates a code of length 15 over Z2[X]/(X^4) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+92x^12+436x^13+847x^14+1456x^15+721x^16+388x^17+120x^18+24x^19+10x^20+1x^22

The gray image is a linear code over GF(2) with n=120, k=12 and d=48.
This code was found by Heurico 1.16 in 0.094 seconds.