The generator matrix

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

generates a code of length 35 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+504x^61+516x^62+1690x^63+3894x^64+4776x^65+8142x^66+13164x^67+14670x^68+23384x^69+27180x^70+23424x^71+23986x^72+17442x^73+7758x^74+3556x^75+2352x^76+288x^77+166x^78+90x^79+72x^80+60x^81+12x^82+12x^83+8x^84

The gray image is a code over GF(3) with n=315, k=11 and d=183.
This code was found by Heurico 1.16 in 31.8 seconds.