The generator matrix

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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+132x^57+246x^58+336x^59+654x^60+630x^61+756x^62+1162x^63+960x^64+1020x^65+1684x^66+1194x^67+1284x^68+1722x^69+1308x^70+1542x^71+1712x^72+972x^73+708x^74+752x^75+450x^76+162x^77+178x^78+60x^79+24x^80+14x^81+12x^82+6x^84+2x^87

The gray image is a linear code over GF(3) with n=102, k=9 and d=57.
This code was found by Heurico 1.16 in 3.03 seconds.