The generator matrix

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

generates a code of length 17 over Z3[X]/(X^2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+46x^21+6x^22+144x^24+72x^25+108x^26+226x^27+522x^28+864x^29+272x^30+1932x^31+2592x^32+416x^33+3384x^34+3456x^35+470x^36+2448x^37+1728x^38+362x^39+384x^40+140x^42+86x^45+22x^48+2x^51

The gray image is a linear code over GF(3) with n=51, k=9 and d=21.
This code was found by Heurico 1.16 in 0.645 seconds.