The generator matrix

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

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+114x^60+102x^61+204x^62+690x^63+390x^64+360x^65+1300x^66+594x^67+732x^68+1882x^69+870x^70+990x^71+2516x^72+924x^73+1002x^74+2572x^75+912x^76+780x^77+1320x^78+486x^79+264x^80+430x^81+90x^82+42x^83+64x^84+6x^85+24x^87+8x^90+6x^93+8x^96

The gray image is a linear code over GF(3) with n=108, k=9 and d=60.
This code was found by Heurico 1.16 in 2.75 seconds.