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

generates a code of length 62 over Z3[X]/(X^2) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+110x^102+206x^105+350x^108+12x^109+500x^111+102x^112+532x^114+444x^115+502x^117+1326x^118+542x^120+2712x^121+636x^123+3594x^124+622x^126+3036x^127+594x^129+1560x^130+550x^132+336x^133+494x^135+366x^138+262x^141+148x^144+96x^147+26x^150+16x^153+6x^156+2x^159

The gray image is a linear code over GF(3) with n=186, k=9 and d=102.
This code was found by Heurico 1.16 in 11 seconds.