The generator matrix

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

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+68x^69+24x^70+360x^71+348x^72+348x^73+708x^74+706x^75+456x^76+1080x^77+910x^78+816x^79+1620x^80+1448x^81+888x^82+2058x^83+1416x^84+1068x^85+1746x^86+934x^87+564x^88+882x^89+516x^90+168x^91+258x^92+114x^93+42x^94+36x^95+62x^96+18x^99+14x^102+6x^105

The gray image is a linear code over GF(3) with n=123, k=9 and d=69.
This code was found by Heurico 1.16 in 3.22 seconds.