The generator matrix

 1  0  0  1  1  1 2X  1  1 X+3  1  1  1  1 2X+6  1 2X+6
 0  1  0  1 2X+3  8  1  4  8  1 2X+8  0  X X+2  1  2  1
 0  0  1  8 2X+4  8 2X+1  4  X X+2 2X+1 X+8  1 X+6 X+8 2X+8  0
 0  0  0 2X 2X+3  6 X+6 X+3 X+6  X  X X+3  3  X 2X+6 2X+3 X+3

generates a code of length 17 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+248x^27+1482x^28+1794x^29+6782x^30+6144x^31+20196x^32+25664x^33+38772x^34+37836x^35+25784x^36+8904x^37+2850x^38+526x^39+102x^40+18x^41+40x^42+4x^45

The gray image is a code over GF(3) with n=153, k=11 and d=81.
This code was found by Heurico 1.16 in 10.1 seconds.