The generator matrix

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

generates a code of length 60 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+276x^114+390x^115+192x^116+758x^117+1038x^118+144x^119+842x^120+912x^121+216x^122+644x^123+690x^124+96x^125+290x^126+42x^127+2x^129+6x^130+14x^132+4x^135+2x^141+2x^165

The gray image is a code over GF(3) with n=540, k=8 and d=342.
This code was found by Heurico 1.16 in 0.327 seconds.