The generator matrix

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

generates a code of length 17 over Z3[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+246x^29+216x^30+396x^32+172x^33+468x^35+224x^36+294x^38+106x^39+54x^41+8x^42+2x^48

The gray image is a linear code over GF(3) with n=51, k=7 and d=29.
This code was found by Heurico 1.16 in 7.88 seconds.