The generator matrix

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

generates a code of length 17 over Z2[X]/(X^4) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+217x^14+412x^15+875x^16+1124x^17+870x^18+356x^19+200x^20+28x^21+9x^22+4x^24

The gray image is a linear code over GF(2) with n=136, k=12 and d=56.
This code was found by Heurico 1.16 in 0.047 seconds.