The generator matrix

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

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+62x^63+102x^64+138x^65+118x^66+234x^67+336x^68+122x^69+456x^70+534x^71+94x^72+720x^73+762x^74+90x^75+780x^76+744x^77+48x^78+462x^79+330x^80+62x^81+150x^82+72x^83+54x^84+12x^85+36x^87+22x^90+8x^93+10x^96+2x^99

The gray image is a linear code over GF(3) with n=111, k=8 and d=63.
This code was found by Heurico 1.16 in 0.39 seconds.