The generator matrix

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

generates a code of length 36 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+28x^60+30x^61+90x^62+116x^63+174x^64+252x^65+118x^66+342x^67+462x^68+102x^69+750x^70+714x^71+84x^72+768x^73+750x^74+68x^75+630x^76+510x^77+72x^78+192x^79+114x^80+38x^81+30x^82+24x^83+44x^84+32x^87+22x^90+4x^93

The gray image is a linear code over GF(3) with n=108, k=8 and d=60.
This code was found by Heurico 1.16 in 0.342 seconds.