The generator matrix

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

generates a code of length 60 over Z9[X]/(X^2+6,3X) 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 34.9 seconds.