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

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+204x^61+414x^62+102x^64+2x^66+4x^69+2x^75

The gray image is a code over GF(3) with n=279, k=6 and d=183.
This code was found by Heurico 1.16 in 0.00447 seconds.