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

generates a code of length 63 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+214x^114+72x^115+404x^117+138x^118+54x^119+670x^120+204x^121+270x^122+1436x^123+3174x^124+486x^125+2482x^126+6096x^127+432x^128+1836x^129+276x^130+216x^131+426x^132+150x^133+306x^135+84x^136+114x^138+6x^139+64x^141+6x^142+14x^144+24x^147+18x^150+6x^153+2x^159+2x^174

The gray image is a code over GF(3) with n=567, k=9 and d=342.
This code was found by Heurico 1.16 in 11 seconds.