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  X  1  X  X  1  1  X  1  1  X  1  1  X  1  1  X  1  X  X  1  1  0  1  1  1  1  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0 2X  X 2X 2X  X  0  X 2X 2X 2X  0  0 2X 2X  X  X 2X  X  X  0  0  X 2X 2X  X  0 2X  X 2X  0  X 2X  0  X 2X  0  X  0  X  0  X  X  0  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  X  X  X 2X 2X  0  X  X  X  X  X 2X  X 2X  0  0  0 2X  X  X 2X  X 2X  X  0  X 2X  0 2X 2X 2X 2X 2X  0  0 2X 2X 2X 2X 2X  0  0  X  0 2X 2X  0  0  0  0
 0  0  0  X  0  0  0  0  0  X  X 2X 2X 2X  0 2X  0  0  X  X 2X  X  0  0 2X  X  X 2X  X  0 2X  0  0  0 2X 2X  0  X  0 2X  0 2X  X  X  0  X  0 2X  X 2X  0 2X  0 2X  X  X 2X  0  X  0  0
 0  0  0  0  X  0  0  0  X 2X 2X 2X  X  X 2X 2X  X  0  X 2X 2X  0 2X 2X 2X  X 2X 2X  X 2X  X  X  0 2X  0  0  X  X  0  0  X  0  0  0 2X  0 2X 2X 2X  0  0  0  X 2X  0  0 2X  X  0  0  0
 0  0  0  0  0  X  0  0 2X 2X  X  X  0 2X  0  X  X  X  X  0 2X  0 2X  X  X  0  X 2X 2X  0  X  0  0 2X  X  X  X 2X 2X 2X 2X  0 2X  0  0  0  0  0  0  0  X  X 2X 2X 2X  X 2X 2X  0 2X  0
 0  0  0  0  0  0  X  0 2X  X 2X  X 2X  0  0  0  0  0  0  0 2X 2X 2X 2X 2X  X  0  X  0  X  X 2X  0 2X 2X 2X  0 2X 2X 2X 2X  0  0 2X 2X  0 2X 2X 2X  X  X  X 2X  0  0  X  X  X  X  0  0
 0  0  0  0  0  0  0  X  X  0  X  0  X  0 2X 2X 2X  X  0  X  0  0  X  X  0  X 2X 2X  X 2X 2X  0 2X  0  X 2X  0  X 2X 2X  0  X  0  0  0 2X  0  0 2X 2X  X 2X  X  0 2X 2X 2X  X 2X  0  X

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+56x^99+182x^102+404x^105+6x^106+384x^108+108x^109+472x^111+420x^112+464x^114+1056x^115+556x^117+2232x^118+634x^120+3120x^121+644x^123+3018x^124+620x^126+2196x^127+582x^129+834x^130+486x^132+132x^133+400x^135+292x^138+186x^141+106x^144+52x^147+30x^150+10x^153

The gray image is a linear code over GF(3) with n=183, k=9 and d=99.
This code was found by Heurico 1.16 in 10.6 seconds.