The generator matrix

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

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+178x^63+510x^64+402x^65+854x^66+1578x^67+894x^68+1980x^69+3144x^70+1812x^71+3066x^72+4614x^73+2568x^74+4136x^75+5544x^76+3336x^77+4332x^78+5736x^79+2592x^80+3286x^81+3672x^82+1092x^83+1498x^84+1212x^85+378x^86+294x^87+210x^88+42x^89+46x^90+24x^91+6x^92+8x^93+2x^99+2x^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 28.8 seconds.