The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1
 0  X 2X  0 X+3 2X  0 X+3 2X  0  0  6 X+3 X+3 2X+6 2X X+3 X+3  0
 0  0  6  0  0  0  0  3  6  6  3  3  3  3  3  0  3  3  6
 0  0  0  6  0  0  6  3  3  0  6  3  3  3  3  3  6  6  3
 0  0  0  0  3  0  3  6  0  6  6  3  3  6  0  3  0  6  3
 0  0  0  0  0  6  3  3  6  3  6  0  3  6  0  0  6  3  6

generates a code of length 19 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+68x^27+112x^30+144x^31+240x^33+1152x^34+570x^36+3456x^37+8748x^38+564x^39+3636x^40+396x^42+360x^43+192x^45+24x^48+12x^51+6x^54+2x^57

The gray image is a code over GF(3) with n=171, k=9 and d=81.
This code was found by Heurico 1.16 in 0.401 seconds.