The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+1296x^60+1224x^61+3456x^62+5684x^63+7632x^64+11322x^65+18438x^66+20358x^67+26676x^68+28686x^69+21402x^70+15498x^71+9674x^72+3330x^73+1368x^74+912x^75+168x^78+22x^81

The gray image is a code over GF(3) with n=306, k=11 and d=180.
This code was found by Heurico 1.16 in 120 seconds.