The generator matrix

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

generates a code of length 60 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+786x^110+910x^111+1836x^112+4896x^113+5640x^114+6030x^115+11586x^116+11442x^117+13824x^118+19812x^119+16950x^120+18918x^121+21366x^122+14928x^123+9954x^124+9414x^125+4050x^126+1836x^127+1758x^128+618x^129+90x^130+264x^131+78x^132+78x^134+50x^135+18x^137+8x^138+6x^140

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 60.8 seconds.