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  X  1  1  1  1  1  X  1  X  X  1  1  1  1  1  1  1  X  X  1  1
 0  6  0  0  0  0  0  0  0  0  0  0  0  0  3  6  3  6  3  6  0  6  6  3  0  6  3  6  3  3  6  3  6  3  0  3  0  6  3  3  6  0  0  0  6  6  3  6  3  0  6  6  6  6  6  3  0  0  3  6  0  6  0  6  0
 0  0  6  0  0  0  0  0  0  0  0  6  3  3  0  3  3  6  3  3  3  3  0  6  6  6  0  6  0  3  3  6  3  0  6  6  0  6  3  0  3  6  6  3  0  3  6  6  0  3  0  3  6  6  0  3  3  6  3  3  0  0  6  6  0
 0  0  0  6  0  0  0  0  6  3  3  3  0  0  0  3  3  0  3  6  3  6  3  3  3  6  3  3  0  6  3  3  3  0  0  6  6  6  0  6  3  3  6  0  3  6  0  6  6  3  6  3  3  0  6  6  3  3  0  0  6  3  3  0  0
 0  0  0  0  6  0  0  6  3  0  3  0  0  3  0  0  6  3  3  3  3  6  6  6  3  3  0  6  0  6  0  3  0  6  3  0  3  6  6  0  3  0  3  6  3  3  0  0  3  3  3  6  6  3  0  0  0  3  3  3  0  3  3  0  0
 0  0  0  0  0  6  0  3  3  6  0  3  3  3  3  3  6  6  6  6  3  6  3  6  6  3  3  0  6  6  6  6  6  0  3  0  6  0  0  0  3  6  0  0  3  3  0  3  0  0  6  0  6  6  6  0  6  3  6  0  0  0  6  0  0
 0  0  0  0  0  0  6  3  3  3  3  3  3  6  6  0  0  0  0  6  6  0  3  0  3  6  0  0  3  0  0  3  3  3  6  3  3  3  6  3  0  3  6  6  6  6  0  3  0  3  3  3  6  6  6  0  6  3  6  3  3  0  0  6  6

generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+40x^111+110x^114+238x^117+6x^118+220x^120+72x^121+198x^123+360x^124+206x^126+960x^127+198x^129+14562x^130+178x^132+1152x^133+152x^135+384x^136+144x^138+142x^141+138x^144+90x^147+62x^150+44x^153+10x^156+6x^159+4x^162+4x^168+2x^177

The gray image is a code over GF(3) with n=585, k=9 and d=333.
This code was found by Heurico 1.16 in 3.44 seconds.