The generator matrix

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

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+574x^63+2518x^66+5672x^69+9008x^72+12876x^75+13258x^78+9936x^81+4240x^84+832x^87+102x^90+18x^93+2x^96+8x^99+4x^102

The gray image is a linear code over GF(3) with n=114, k=10 and d=63.
This code was found by Heurico 1.16 in 24.6 seconds.