The generator matrix

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

generates a code of length 39 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+192x^60+6x^61+12x^62+342x^63+30x^64+108x^65+704x^66+210x^67+390x^68+1652x^69+786x^70+1158x^71+3356x^72+1776x^73+2034x^74+6022x^75+2982x^76+3198x^77+7358x^78+3378x^79+3192x^80+6866x^81+2568x^82+2070x^83+3888x^84+1182x^85+786x^86+1542x^87+204x^88+174x^89+498x^90+232x^93+106x^96+34x^99+8x^102+4x^105

The gray image is a linear code over GF(3) with n=117, k=10 and d=60.
This code was found by Heurico 1.16 in 39.8 seconds.