The generator matrix

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

generates a code of length 60 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+576x^110+1124x^111+2412x^112+3708x^113+5796x^114+7236x^115+9990x^116+12090x^117+15516x^118+17748x^119+18190x^120+19908x^121+18540x^122+14610x^123+12150x^124+7596x^125+5052x^126+2520x^127+1296x^128+586x^129+36x^130+216x^131+96x^132+72x^134+38x^135+36x^137+8x^138

The gray image is a code over GF(3) with n=540, k=11 and d=330.
This code was found by Heurico 1.16 in 59.5 seconds.