The generator matrix

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

generates a code of length 39 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+176x^63+90x^64+138x^65+772x^66+426x^67+396x^68+1612x^69+882x^70+1056x^71+3606x^72+1812x^73+2172x^74+6008x^75+2604x^76+3132x^77+7714x^78+2952x^79+3234x^80+6668x^81+2622x^82+1956x^83+4076x^84+1236x^85+900x^86+1702x^87+432x^88+138x^89+310x^90+66x^91+100x^93+42x^96+12x^99+6x^102

The gray image is a linear code over GF(3) with n=117, k=10 and d=63.
This code was found by Heurico 1.16 in 24.5 seconds.