The generator matrix

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

generates a code of length 37 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+196x^63+228x^64+462x^65+704x^66+642x^67+690x^68+1220x^69+972x^70+984x^71+1464x^72+1248x^73+1326x^74+1636x^75+1200x^76+1344x^77+1742x^78+1050x^79+726x^80+808x^81+396x^82+246x^83+214x^84+84x^85+54x^86+26x^87+12x^88+4x^90+2x^93+2x^99

The gray image is a linear code over GF(3) with n=111, k=9 and d=63.
This code was found by Heurico 1.16 in 3.72 seconds.