The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^117+204x^118+456x^119+804x^120+1488x^121+1452x^122+2518x^123+4026x^124+3372x^125+4374x^126+7602x^127+4920x^128+5884x^129+7662x^130+4380x^131+3534x^132+3384x^133+1206x^134+634x^135+306x^136+180x^137+186x^138+66x^139+54x^140+84x^141+24x^142+12x^143+74x^144+24x^145+6x^146+18x^147+2x^150+2x^153+2x^156

The gray image is a code over GF(3) with n=576, k=10 and d=351.
This code was found by Heurico 1.16 in 9.95 seconds.