The generator matrix

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

generates a code of length 60 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+414x^115+972x^116+308x^117+612x^118+1128x^119+296x^120+534x^121+822x^122+242x^123+396x^124+618x^125+36x^126+126x^127+6x^128+2x^129+6x^130+6x^131+4x^132+18x^133+12x^134+2x^138

The gray image is a code over GF(3) with n=540, k=8 and d=345.
This code was found by Heurico 1.16 in 13.6 seconds.