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

generates a code of length 60 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 113.

Homogenous weight enumerator: w(x)=1x^0+240x^113+170x^114+438x^116+248x^117+972x^118+186x^119+1362x^120+1944x^121+222x^122+290x^123+150x^125+70x^126+78x^128+24x^129+78x^131+8x^132+60x^134+12x^135+6x^137+2x^171

The gray image is a code over GF(3) with n=540, k=8 and d=339.
This code was found by Heurico 1.16 in 1.52 seconds.