The generator matrix

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

generates a code of length 63 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+774x^116+1304x^117+2340x^118+4044x^119+6044x^120+7272x^121+10110x^122+13098x^123+13806x^124+16878x^125+19484x^126+17622x^127+17988x^128+16094x^129+11952x^130+8046x^131+4992x^132+2286x^133+1566x^134+784x^135+126x^136+210x^137+128x^138+150x^140+18x^141+6x^143+18x^144+6x^146

The gray image is a code over GF(3) with n=567, k=11 and d=348.
This code was found by Heurico 1.16 in 67.4 seconds.