The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+90x^57+180x^59+270x^60+1740x^62+748x^63+1458x^64+8580x^65+1684x^66+5832x^67+16878x^68+2192x^69+5832x^70+11436x^71+1236x^72+492x^74+190x^75+60x^77+74x^78+38x^81+34x^84+2x^87+2x^90

The gray image is a code over GF(3) with n=306, k=10 and d=171.
This code was found by Heurico 1.16 in 4.35 seconds.