The generator matrix

 1  0  1  1  1  1  1  0  1  0  1  1  1  1  1  0  1  0  1  1  1  1  1  X  1  1  1  X 2X  1  1  1  1  1  1  X  1  1
 0  1  1  2  0  1  2  1 2X+1  1  0  2 X+2 2X+1  0  1  X  1  2  2  0 2X+1 2X  1 2X+1 X+1  0  1  1 X+2 2X+2 2X+2 2X+2 2X+2  X  1  0  0
 0  0 2X  0  0  0  0  0  0  0 2X  X  X 2X 2X  0 2X  X  X 2X  X 2X  X 2X 2X 2X  X  0 2X  X  0 2X  X  X 2X  X  0  0
 0  0  0  X  0  0  0  X 2X  X  0 2X  X 2X  0 2X  0  X  0 2X  X  0 2X 2X 2X  0  X  X  X  X 2X  X 2X  0 2X  0  0  0
 0  0  0  0  X  0  X  X  X  X  X 2X  0  X  0  X 2X 2X  0  0 2X 2X 2X  0 2X  0 2X  0  0 2X 2X 2X 2X  X 2X  X  0  X
 0  0  0  0  0 2X 2X  0 2X  X  0 2X  X  X 2X  X 2X  0  X  X 2X  X  X  0  0  X  0 2X 2X  X  X  0  0  X  X  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+26x^63+214x^66+72x^67+90x^68+370x^69+144x^70+144x^71+560x^72+306x^73+414x^74+776x^75+378x^76+396x^77+756x^78+342x^79+342x^80+580x^81+180x^82+72x^83+200x^84+36x^85+90x^87+30x^90+34x^93+8x^96

The gray image is a linear code over GF(3) with n=114, k=8 and d=63.
This code was found by Heurico 1.16 in 0.364 seconds.