The generator matrix

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

generates a code of length 60 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+348x^115+666x^116+684x^117+1002x^118+546x^119+456x^120+780x^121+456x^122+444x^123+510x^124+414x^125+96x^126+96x^127+12x^128+6x^130+12x^131+18x^132+6x^133+6x^139+2x^144

The gray image is a code over GF(3) with n=540, k=8 and d=345.
This code was found by Heurico 1.16 in 6.89 seconds.