The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+62x^51+168x^53+284x^54+1122x^56+1170x^57+2430x^58+4686x^59+4480x^60+9720x^61+9066x^62+6952x^63+9720x^64+6276x^65+2100x^66+498x^68+154x^69+54x^71+40x^72+36x^75+20x^78+4x^81+6x^84

The gray image is a code over GF(3) with n=279, k=10 and d=153.
This code was found by Heurico 1.16 in 4.12 seconds.