The generator matrix

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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+138x^54+36x^56+392x^57+126x^58+168x^59+672x^60+216x^61+432x^62+1438x^63+810x^64+864x^65+2304x^66+1152x^67+1212x^68+2466x^69+1242x^70+1080x^71+2004x^72+648x^73+450x^74+1020x^75+180x^76+132x^77+306x^78+116x^81+64x^84+12x^87+2x^90

The gray image is a linear code over GF(3) with n=102, k=9 and d=54.
This code was found by Heurico 1.16 in 6.99 seconds.