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

generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+46x^69+140x^72+182x^75+404x^78+884x^81+1376x^84+1520x^87+1020x^90+532x^93+202x^96+130x^99+68x^102+42x^105+12x^108+2x^111

The gray image is a linear code over GF(3) with n=129, k=8 and d=69.
This code was found by Heurico 1.16 in 0.715 seconds.