The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+34x^114+144x^116+192x^117+144x^118+636x^119+560x^120+1098x^121+1638x^122+1658x^123+3582x^124+4548x^125+4044x^126+6804x^127+7272x^128+5216x^129+7164x^130+5448x^131+2862x^132+2898x^133+1788x^134+508x^135+180x^136+300x^137+124x^138+96x^140+18x^141+22x^144+38x^147+14x^150+10x^153+2x^156+4x^159+2x^162

The gray image is a code over GF(3) with n=576, k=10 and d=342.
This code was found by Heurico 1.16 in 9.58 seconds.