The generator matrix

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

generates a code of length 38 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+70x^60+24x^61+90x^62+344x^63+372x^64+414x^65+756x^66+1314x^67+948x^68+1796x^69+2694x^70+1704x^71+3074x^72+5034x^73+2628x^74+4322x^75+6516x^76+3036x^77+4242x^78+5808x^79+2568x^80+3120x^81+3396x^82+1224x^83+1358x^84+972x^85+444x^86+404x^87+114x^88+66x^89+128x^90+44x^93+22x^96+2x^99

The gray image is a linear code over GF(3) with n=114, k=10 and d=60.
This code was found by Heurico 1.16 in 23.1 seconds.