The generator matrix

 1  0  0  0  1  1  1 X^2  1  X  1  1 X^3+X^2 X^3+X X^2+X  1 X^2+X
 0  1  0  0  X X^3+1 X^2+X+1  1  0 X^2 X^3+1 X^2+X  1 X^2  1 X^2+X  1
 0  0  1  0 X+1  1  X X+1 X+1  1  X X^2+X X^2+X+1  1  0 X^2+X X^2+X
 0  0  0  1  1 X^2 X+1  1 X^2+X X^2+1  0 X^2+X+1 X^2+X X^3+X+1  1 X^2+X+1 X^3+X+1
 0  0  0  0 X^2 X^3  0 X^3 X^3  0 X^2 X^2 X^3+X^2 X^2 X^2 X^3 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+399x^12+2140x^13+8342x^14+25984x^15+55566x^16+76744x^17+56228x^18+26320x^19+8065x^20+1852x^21+390x^22+80x^23+33x^24

The gray image is a linear code over GF(2) with n=136, k=18 and d=48.
This code was found by Heurico 1.16 in 85.5 seconds.