The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+1206x^59+1782x^60+5424x^61+10410x^62+13200x^63+27006x^64+36210x^65+48572x^66+70794x^67+73776x^68+75968x^69+74172x^70+49188x^71+23414x^72+13476x^73+5442x^74+1018x^75+108x^76+168x^77+64x^78+18x^79+18x^80+6x^81

The gray image is a code over GF(3) with n=306, k=12 and d=177.
This code was found by Heurico 1.16 in 249 seconds.