The generator matrix

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

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+34x^69+24x^71+208x^72+54x^73+102x^74+466x^75+216x^76+210x^77+536x^78+216x^79+270x^80+676x^81+378x^82+420x^83+710x^84+432x^85+276x^86+626x^87+108x^88+138x^89+194x^90+54x^91+18x^92+110x^93+40x^96+28x^99+10x^102+6x^105

The gray image is a linear code over GF(3) with n=123, k=8 and d=69.
This code was found by Heurico 1.16 in 0.401 seconds.