The generator matrix

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

generates a code of length 17 over Z3[X]/(X^3) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+72x^29+342x^30+1242x^32+1144x^33+2484x^35+1142x^36+90x^38+34x^39+8x^42+2x^48

The gray image is a linear code over GF(3) with n=153, k=8 and d=87.
This code was found by Heurico 1.16 in 0.0254 seconds.