The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X
 0  X 2X  0 X+6 2X X+6 2X+3  0  3  0  3 X+6 2X X+6 2X X+3 2X+3  3 2X+3 X+3  3 2X+3  6 2X+6 X+3 X+6 X+3 X+6 X+3 X+3  0  0  3  3  0 X+6 2X 2X+3 2X 2X+3 2X  X 2X+6  X  6  6 2X+6  3 X+3  X  X  6  0  6 2X+3  X X+6 X+6
 0  0  3  0  3  0  6  6  3  6  3  6  6  0  3  3  0  6  3  3  0  0  0  6  6  3  3  6  6  3  6  0  3  3  0  6  0  0  0  6  3  3  6  3  0  3  6  6  6  0  0  3  3  6  6  6  3  6  0
 0  0  0  3  6  3  3  6  6  3  0  6  6  0  0  6  3  3  3  3  6  6  6  0  0  0  3  0  0  6  3  6  3  6  3  0  0  6  0  0  0  3  6  6  3  0  6  3  0  0  6  3  3  6  3  0  0  6  3

generates a code of length 59 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+254x^114+464x^117+972x^118+378x^120+68x^123+46x^126+2x^132+2x^171

The gray image is a code over GF(3) with n=531, k=7 and d=342.
This code was found by Heurico 1.16 in 0.223 seconds.