The generator matrix

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

generates a code of length 36 over Z3[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+84x^57+126x^58+186x^59+300x^60+486x^61+966x^62+384x^63+1704x^64+2088x^65+716x^66+3678x^67+4410x^68+1096x^69+5562x^70+5952x^71+1258x^72+6474x^73+6498x^74+1258x^75+5226x^76+4248x^77+802x^78+2376x^79+1614x^80+354x^81+570x^82+270x^83+202x^84+42x^85+12x^86+64x^87+28x^90+8x^93+6x^96

The gray image is a linear code over GF(3) with n=108, k=10 and d=57.
This code was found by Heurico 1.16 in 21.3 seconds.