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

generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+108x^69+206x^72+238x^75+216x^77+212x^78+756x^80+236x^81+1296x^83+232x^84+1566x^86+222x^87+540x^89+222x^90+192x^93+144x^96+118x^99+38x^102+16x^105+2x^111

The gray image is a linear code over GF(3) with n=126, k=8 and d=69.
This code was found by Heurico 1.16 in 0.739 seconds.