The generator matrix

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

generates a code of length 60 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+852x^109+1422x^110+4866x^111+7932x^112+10026x^113+17150x^114+21690x^115+26334x^116+37806x^117+44988x^118+48744x^119+61756x^120+57966x^121+52038x^122+49632x^123+37122x^124+21372x^125+15808x^126+7854x^127+3204x^128+1688x^129+798x^130+108x^131+88x^132+102x^133+30x^134+16x^135+18x^136+18x^137+12x^139

The gray image is a code over GF(3) with n=540, k=12 and d=327.
This code was found by Heurico 1.16 in 406 seconds.