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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1
 0  X 2X  0 X+6 2X 2X+3  3 X+6 X+6  0 2X X+6  0 2X 2X+3  6 X+3 X+6  0  3 X+3  0 X+6 2X 2X+3 2X+3  3 X+3 2X+3  3  X  3 2X+6 X+3 2X 2X+6  3  6 2X 2X+6 X+3  X  3 X+6  0 2X+3  3 2X  X  X  X  0  X  3 X+6  0 2X+6 X+6  0
 0  0  3  0  0  0  6  0  6  3  0  3  3  3  0  3  3  0  6  6  3  0  6  3  3  0  6  0  6  6  6  3  3  6  3  3  6  6  0  0  3  6  0  3  6  0  6  6  3  3  6  0  6  3  3  0  6  6  6  0
 0  0  0  3  0  3  6  6  6  3  0  6  0  6  6  6  0  6  0  0  6  3  6  0  3  0  0  6  3  6  3  6  3  3  6  3  3  3  6  6  0  0  3  6  3  3  0  0  0  0  6  3  6  6  3  6  0  0  3  0
 0  0  0  0  6  6  3  0  6  3  6  6  0  0  6  0  3  0  6  6  3  0  6  3  0  6  3  6  6  0  6  0  3  0  3  6  3  3  3  0  6  3  6  6  0  6  6  3  3  6  3  3  0  6  0  6  3  6  0  3

generates a code of length 60 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+80x^111+54x^112+268x^114+126x^115+216x^116+234x^117+96x^118+864x^119+3116x^120+60x^121+864x^122+150x^123+60x^124+114x^126+12x^127+76x^129+48x^130+48x^132+30x^133+38x^135+2x^138+2x^141+2x^174

The gray image is a code over GF(3) with n=540, k=8 and d=333.
This code was found by Heurico 1.16 in 0.321 seconds.