The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+144x^118+372x^119+838x^120+1320x^121+2052x^122+2546x^123+2880x^124+4902x^125+3934x^126+5520x^127+7776x^128+5900x^129+5988x^130+6012x^131+3674x^132+2100x^133+1350x^134+672x^135+282x^136+204x^137+70x^138+126x^139+102x^140+90x^141+78x^142+48x^143+4x^144+30x^145+18x^146+8x^147+6x^149+2x^150

The gray image is a code over GF(3) with n=576, k=10 and d=354.
This code was found by Heurico 1.16 in 9.21 seconds.