The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+606x^61+906x^62+2144x^63+3516x^64+2886x^65+6924x^66+7566x^67+6228x^68+11178x^69+7680x^70+3480x^71+3280x^72+1902x^73+570x^74+42x^75+84x^76+18x^77+30x^79+6x^80+2x^90

The gray image is a code over GF(3) with n=306, k=10 and d=183.
This code was found by Heurico 1.16 in 3.47 seconds.