The generator matrix

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

generates a code of length 17 over Z2[X]/(X^4) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+159x^12+1022x^13+4515x^14+12494x^15+28254x^16+37900x^17+28629x^18+12700x^19+4249x^20+886x^21+229x^22+22x^23+9x^24+3x^26

The gray image is a linear code over GF(2) with n=136, k=17 and d=48.
This code was found by Heurico 1.16 in 22 seconds.