The generator matrix

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

generates a code of length 38 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+62x^63+18x^64+132x^65+536x^66+234x^67+396x^68+1122x^69+486x^70+588x^71+1666x^72+810x^73+804x^74+2222x^75+1116x^76+1050x^77+2616x^78+1026x^79+756x^80+1710x^81+522x^82+468x^83+734x^84+162x^85+174x^86+186x^87+6x^89+44x^90+18x^93+18x^96

The gray image is a linear code over GF(3) with n=114, k=9 and d=63.
This code was found by Heurico 1.16 in 2.96 seconds.