The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  0  1  1  X  0  1  1  1  1  1  1
 0  X  0  0 2X X+6 2X+6  X 2X X+6  6  0 X+6 2X+6  3 2X+6 2X X+6 X+6 X+3 X+3 2X 2X+3 2X+6 X+3  0  3  X  3 2X+3 X+6  X 2X+6  0 2X+3  6 2X+6  X X+6 2X+6 2X+3 X+6 2X+3  X X+3 X+6 2X+6  3  3  0 2X+6  0  0  6 2X+3 2X+6  X  3  X 2X+6 X+3  0  6
 0  0  X 2X  0 2X+3 X+3  X 2X+3 2X+6  X  6 X+3 X+3 2X  0 2X  6 2X+3  0 X+3  3  X 2X+3  6  6 X+6 2X 2X+6 X+3 X+3 2X 2X  X  0 2X  X  6 X+6 2X+6  6 2X+6  6 X+3 X+6 2X+6  0 2X  X  6 X+3  6  X  0 2X X+3 2X X+6 2X+3  X  3 2X  3
 0  0  0  3  0  0  6  0  0  3  6  3  6  3  6  3  3  0  0  3  6  6  3  3  0  0  3  6  0  3  3  0  6  0  6  0  6  3  3  3  3  6  0  0  0  3  6  0  3  3  0  0  3  6  0  3  3  0  6  6  6  6  3
 0  0  0  0  3  6  0  3  6  0  6  3  0  0  0  3  6  3  3  6  6  3  3  3  6  3  3  6  6  6  0  0  6  3  0  3  3  3  3  0  6  0  6  6  0  3  6  0  3  0  3  6  0  3  0  6  0  3  3  0  3  3  0

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+318x^116+234x^117+570x^119+510x^120+1284x^122+1010x^123+1458x^124+2736x^125+3140x^126+2916x^127+2592x^128+1116x^129+546x^131+254x^132+354x^134+146x^135+204x^137+82x^138+132x^140+48x^141+12x^143+16x^144+2x^150+2x^174

The gray image is a code over GF(3) with n=567, k=9 and d=348.
This code was found by Heurico 1.16 in 2.1 seconds.