The generator matrix

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

generates a code of length 60 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 113.

Homogenous weight enumerator: w(x)=1x^0+564x^113+868x^114+360x^115+1860x^116+2118x^117+792x^118+2154x^119+3062x^120+648x^121+2100x^122+2228x^123+558x^124+1278x^125+590x^126+72x^127+192x^128+48x^129+72x^131+54x^132+30x^134+14x^135+12x^137+4x^138+4x^144

The gray image is a code over GF(3) with n=540, k=9 and d=339.
This code was found by Heurico 1.16 in 34.1 seconds.