The generator matrix

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

generates a code of length 63 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+744x^120+996x^121+1566x^122+2790x^123+1818x^124+1818x^125+1848x^126+1494x^127+1350x^128+1812x^129+846x^130+702x^131+964x^132+486x^133+234x^134+168x^135+18x^136+12x^138+12x^139+2x^144+2x^150

The gray image is a code over GF(3) with n=567, k=9 and d=360.
This code was found by Heurico 1.16 in 0.89 seconds.