The generator matrix

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

generates a code of length 51 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+432x^101+72x^102+216x^104+6x^108+2x^135

The gray image is a code over GF(3) with n=459, k=6 and d=303.
This code was found by Heurico 1.16 in 0.516 seconds.