The generator matrix

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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+60x^48+168x^51+6x^53+374x^54+42x^55+108x^56+830x^57+210x^58+480x^59+1984x^60+882x^61+1266x^62+4376x^63+2310x^64+2682x^65+6706x^66+3486x^67+3720x^68+7682x^69+3654x^70+2940x^71+6290x^72+2022x^73+1584x^74+3068x^75+516x^76+336x^77+734x^78+308x^81+132x^84+64x^87+18x^90+4x^93+6x^96

The gray image is a linear code over GF(3) with n=102, k=10 and d=48.
This code was found by Heurico 1.16 in 19.9 seconds.