The generator matrix

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

generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+78x^73+132x^74+232x^75+468x^76+318x^77+642x^78+888x^79+492x^80+756x^81+1242x^82+708x^83+1270x^84+1824x^85+924x^86+1538x^87+1860x^88+828x^89+1256x^90+1584x^91+666x^92+574x^93+618x^94+216x^95+188x^96+168x^97+84x^98+58x^99+12x^100+6x^101+26x^102+6x^103+8x^105+6x^108+2x^111+2x^117+2x^120

The gray image is a linear code over GF(3) with n=129, k=9 and d=73.
This code was found by Heurico 1.16 in 13.6 seconds.