The generator matrix

 1  0  0  1  1  1 2X  1  1 X+6  1  1  1  1  X  1  0 2X X+6  1  1
 0  1  0  1 2X+6  8  1  7  8  1 2X+8  0  X  X  1 2X+8  1  1  1 2X 2X+7
 0  0  1  8 2X+7  8 2X+1  7  X X+5 2X+1 X+8 2X+1 X+8 2X+1 X+1 X+3 X+8  4 X+1 2X+5
 0  0  0 2X 2X+6  3 X+3 X+6 X+3  X  X X+6  3 2X+3  6 2X+6 2X+6 2X+3 2X+6  X  0

generates a code of length 21 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+216x^34+450x^35+1790x^36+2802x^37+6804x^38+9322x^39+20004x^40+22062x^41+34752x^42+37656x^43+22842x^44+12502x^45+4344x^46+1224x^47+176x^48+102x^49+78x^50+18x^51+2x^54

The gray image is a code over GF(3) with n=189, k=11 and d=102.
This code was found by Heurico 1.16 in 16.2 seconds.