The generator matrix

 1  0  0  1  1  1 2X  1  1 X+6  1  1  1  1  1 2X+3  3
 0  1  0  1 2X+6  8  1  7  8  1 2X+8  0  X X+2 2X+2  1  1
 0  0  1  8 2X+7  8 2X+1  7  X X+5 2X+1 X+8  7  X X+8 X+2 2X+6
 0  0  0 2X 2X+6  3 X+3 X+6 X+3  X  X X+6  6  X 2X 2X+3  X

generates a code of length 17 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+242x^27+1416x^28+1866x^29+7124x^30+5688x^31+19656x^32+26948x^33+38430x^34+36756x^35+27068x^36+8304x^37+2940x^38+544x^39+108x^40+18x^41+34x^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 12.4 seconds.