The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  X  0  1  X  1  1  X  1  1  1  1  X  1  1  0  X  1  X
 0  X  0  0  0 2X X+3 2X+3  X 2X+3  3  3 X+3 2X+3 2X X+3 X+3 X+3 2X+3 X+6  0 X+6 2X 2X+3 2X+3  6  0 2X+6 2X+6 2X  X 2X+6  X  3 X+6 X+6  6  X X+3 X+3  0 2X+3  6  X  0 X+6 2X  3  X  X  X 2X+3  3  X X+6  0  3  6  6 X+3
 0  0  X  0  6  3  6  3  0  0 X+3 2X+6 2X+6 2X+3 X+6  X 2X  X 2X+6  X 2X+6 2X+6 X+3 X+3 2X+3  X 2X+6 2X X+3  X  3 2X+3 2X+6  3 2X+6 X+6 X+3 X+3  0 2X+3 2X+3  6  0 X+3  6 2X+3 2X+3  X  3  X  X X+3 X+6 2X+3 X+3 2X  X  6 X+3 X+3
 0  0  0  X 2X+3  0 2X X+6  X 2X 2X+3  6  3  0  6 X+6 X+6  3 2X+6 2X 2X 2X+6 2X X+6  X  X X+6 X+6  X  0 X+3  6  6  3 X+6  3 X+6  X  6  X X+3  X 2X+3 X+6 X+6 2X+3 2X  6 X+6 2X+3 X+3  X 2X X+6 2X+3  3  6 2X 2X+6 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+252x^110+234x^111+54x^112+732x^113+408x^114+378x^115+1536x^116+884x^117+1782x^118+3168x^119+750x^120+2862x^121+3072x^122+756x^123+756x^124+726x^125+336x^126+378x^128+150x^129+246x^131+78x^132+60x^134+46x^135+36x^137+2x^153

The gray image is a code over GF(3) with n=540, k=9 and d=330.
This code was found by Heurico 1.16 in 2.16 seconds.