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

generates a code of length 69 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+52x^120+188x^123+216x^126+224x^129+54x^130+220x^132+432x^133+202x^135+1296x^136+13316x^138+1728x^139+142x^141+864x^142+152x^144+128x^147+146x^150+110x^153+88x^156+54x^159+48x^162+16x^165+4x^168+2x^195

The gray image is a code over GF(3) with n=621, k=9 and d=360.
This code was found by Heurico 1.16 in 3.71 seconds.