The generator matrix

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

generates a code of length 17 over Z3[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+94x^24+18x^26+252x^27+54x^28+144x^29+586x^30+324x^31+432x^32+988x^33+648x^34+576x^35+1012x^36+432x^37+288x^38+592x^39+100x^42+4x^45+10x^48+6x^51

The gray image is a linear code over GF(3) with n=51, k=8 and d=24.
This code was found by Heurico 1.16 in 0.121 seconds.