The generator matrix

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

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+226x^24+282x^25+582x^26+1460x^27+1350x^28+1734x^29+3458x^30+3582x^31+4956x^32+7738x^33+6438x^34+6330x^35+7686x^36+4644x^37+3450x^38+3074x^39+1116x^40+444x^41+406x^42+84x^43+6x^45+2x^48

The gray image is a linear code over GF(3) with n=51, k=10 and d=24.
This code was found by Heurico 1.16 in 8.17 seconds.