The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+882x^57+1044x^58+1488x^59+2446x^60+2766x^61+2562x^62+2748x^63+2166x^64+1440x^65+1572x^66+486x^67+6x^68+44x^69+6x^70+12x^71+2x^72+12x^73

The gray image is a code over GF(3) with n=279, k=9 and d=171.
This code was found by Heurico 1.16 in 0.394 seconds.