The generator matrix

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

generates a code of length 40 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+262x^69+264x^70+462x^71+744x^72+684x^73+828x^74+1190x^75+882x^76+960x^77+1482x^78+1086x^79+1188x^80+1548x^81+1422x^82+1182x^83+1518x^84+1032x^85+852x^86+914x^87+360x^88+330x^89+306x^90+90x^91+24x^92+44x^93+12x^94+6x^95+6x^96+2x^99+2x^102

The gray image is a linear code over GF(3) with n=120, k=9 and d=69.
This code was found by Heurico 1.16 in 6.44 seconds.