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

generates a code of length 59 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+348x^111+534x^114+648x^116+734x^117+1944x^118+1296x^119+548x^120+174x^123+154x^126+128x^129+48x^132+2x^138+2x^171

The gray image is a code over GF(3) with n=531, k=8 and d=333.
This code was found by Heurico 1.16 in 0.403 seconds.