The generator matrix

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

generates a code of length 36 over Z3[X]/(X^2) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+234x^59+358x^60+318x^61+1056x^62+1038x^63+918x^64+2496x^65+2458x^66+1794x^67+3900x^68+3440x^69+2742x^70+5856x^71+4412x^72+3180x^73+6252x^74+4420x^75+2670x^76+4218x^77+2456x^78+1206x^79+1890x^80+898x^81+276x^82+324x^83+148x^84+18x^85+18x^86+28x^87+14x^90+12x^93

The gray image is a linear code over GF(3) with n=108, k=10 and d=59.
This code was found by Heurico 1.16 in 33.5 seconds.