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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+534x^116+1524x^117+1740x^118+1590x^119+2546x^120+1560x^121+1578x^122+2224x^123+1392x^124+1302x^125+1284x^126+708x^127+648x^128+730x^129+264x^130+12x^131+26x^132+6x^134+8x^135+6x^136

The gray image is a code over GF(3) with n=549, k=9 and d=348.
This code was found by Heurico 1.16 in 0.809 seconds.