The generator matrix

 1  0  0  1  1  1  1  1  1  3  1  1 X+3  1  X 2X+3  1  1  1  1  6  1  1  1  1  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1 2X+6 2X+3  1  1  1  1  1 2X 2X  1  1 X+6  1  1  1  6  1  1  X  1
 0  1  0  3  1  4  2  X  8  1 2X+4 2X+2  1 X+3  1 2X+6  6 X+6  2 2X+7 2X+6 2X X+2 X+8 X+7 X+1  0  1 X+5 2X+1 2X+5 2X+3 X+4  4 2X+1 X+6 2X+2 2X+6  8  2  1  1  3 X+2 X+3 X+6  7  6  1  4 2X+5  1 2X+6 2X+7 X+3  1  0 2X+1  1  6
 0  0  1 2X+4 2X+1  3 X+8 X+5 2X+6  4 2X+2  4  2 2X X+6  1  7 2X+8  5  2  1 X+3  4 2X+6 2X+2 X+7 2X+5 2X+7 X+4 2X  5  0  6  8 2X+1  7 X+6 X+5  X X+1  3 X+7 X+3 X+2 X+4  6 2X+5  1  6 2X+3 2X+8  1 2X+8  X 2X+7 X+3 2X  7 X+8  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+844x^114+498x^115+2442x^116+2372x^117+1116x^118+1974x^119+2606x^120+786x^121+1854x^122+2000x^123+678x^124+918x^125+938x^126+144x^127+420x^128+52x^129+6x^130+12x^132+12x^133+6x^134+4x^135

The gray image is a code over GF(3) with n=540, k=9 and d=342.
This code was found by Heurico 1.16 in 0.63 seconds.