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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+6x^109+42x^110+194x^111+150x^112+132x^113+388x^114+330x^115+396x^116+524x^117+1470x^118+1134x^119+578x^120+3552x^121+2232x^122+750x^123+3624x^124+1506x^125+598x^126+894x^127+228x^128+378x^129+132x^130+120x^131+136x^132+42x^133+42x^134+20x^135+6x^136+18x^138+18x^141+10x^144+18x^147+4x^150+8x^153+2x^156

The gray image is a code over GF(3) with n=549, k=9 and d=327.
This code was found by Heurico 1.16 in 40.8 seconds.