The generator matrix
1 0 1 1 X^2+X 1 1 1 X 1 1 X 0 X^3+X^2+X X
0 1 1 X^2+X 1 X^3+X+1 X^3+X^2+1 X^2 1 X X^3+X^2+X+1 0 X 1 X^2+X
0 0 X 0 X^3 X^2 X^3+X^2 X X X^3+X X^2+X X^2+X X^2+X X X^3
0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 0 0 X^3 X^3 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+200x^12+424x^13+826x^14+1208x^15+835x^16+408x^17+164x^18+8x^19+20x^20+2x^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 0.031 seconds.