The generator matrix

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

generates a code of length 17 over Z3[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+54x^26+180x^27+162x^28+306x^29+430x^30+252x^31+828x^32+538x^33+540x^34+1134x^35+626x^36+432x^37+558x^38+344x^39+72x^40+36x^41+56x^42+12x^45

The gray image is a linear code over GF(3) with n=51, k=8 and d=26.
This code was found by Heurico 1.16 in 0.139 seconds.