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

generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+78x^69+278x^72+514x^75+744x^78+36x^79+1056x^81+306x^82+1300x^84+1332x^85+1768x^87+3978x^88+1954x^90+8136x^91+2218x^93+10782x^94+2316x^96+9108x^97+2256x^99+4680x^100+1824x^102+1008x^103+1464x^105+878x^108+560x^111+248x^114+134x^117+62x^120+24x^123+4x^126+2x^129

The gray image is a linear code over GF(3) with n=141, k=10 and d=69.
This code was found by Heurico 1.16 in 58.5 seconds.