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

generates a code of length 64 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+110x^117+96x^118+138x^119+570x^120+228x^121+264x^122+724x^123+924x^124+540x^125+2566x^126+2832x^127+990x^128+3948x^129+2778x^130+714x^131+770x^132+180x^133+144x^134+346x^135+126x^136+54x^137+282x^138+72x^139+48x^140+102x^141+30x^142+18x^143+46x^144+24x^145+6x^146+2x^147+6x^150+2x^156+2x^174

The gray image is a code over GF(3) with n=576, k=9 and d=351.
This code was found by Heurico 1.16 in 2.12 seconds.