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.