The generator matrix

 1  0  1  1  1  1 X+3  1  1 2X  1  1  1  0  1  1  1  1  1  3  1  1  X  1  1  1 2X+3  1  1  1  1  3  1  1 2X  1  1  1  3  1  1  1  1  1 2X+3  1  1 2X  1  1  1  1  1 2X  1  1  1  1  X  1
 0  1  1  8 X+3 X+2  1 2X+4 2X  1 2X+8 X+1  0  1  2 2X+4 X+1 X+8 X+3  1 2X X+4  1 2X+2  3 2X+1  1  1  X 2X+2 2X+3  1 X+4 2X+1  1 2X 2X+8 X+6  1  4 2X+1 X+1  0 X+5  1  0 X+3  1 X+8  X  8 2X+5 2X+8  1 2X+5 2X+6 X+2  2 2X+6 2X+8
 0  0 2X  0  0  3  3  3  6  0  0  3 2X+6 2X+3 X+3 2X+6 2X  X 2X X+6 2X+6 X+3  X X+3 X+3 X+3 X+6 X+6 X+3  X  X X+3 X+6  X 2X+3 2X 2X+3  3  X  3 2X+3  3  6  6 X+3 X+6 2X+3  6  X  3 2X+6 2X 2X+3  3 X+6  X 2X+3 2X+3  X  3
 0  0  0  6  0  0  0  3  0  0  3  6  0  0  3  6  3  6  6  6  3  3  3  3  6  0  0  0  0  3  6  6  6  3  0  6  3  6  3  3  0  6  6  0  3  0  3  3  6  3  3  6  0  3  6  3  6  0  0  0
 0  0  0  0  3  3  6  6  6  3  6  0  3  0  6  6  3  6  3  0  3  3  3  0  6  0  0  6  3  3  0  3  0  0  3  6  6  3  0  0  6  3  0  0  6  0  6  6  0  0  3  6  3  3  3  0  3  6  0  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+264x^110+500x^111+378x^112+1740x^113+1792x^114+1422x^115+4242x^116+4368x^117+3492x^118+7950x^119+5954x^120+4914x^121+7998x^122+5246x^123+2736x^124+3294x^125+1474x^126+180x^127+480x^128+194x^129+162x^131+90x^132+96x^134+46x^135+18x^137+10x^138+6x^144+2x^147

The gray image is a code over GF(3) with n=540, k=10 and d=330.
This code was found by Heurico 1.16 in 91.6 seconds.