The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X  X  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  X  X  X  0  X  X  0  X  X  0  X 2X 2X 2X 2X 2X 2X  0  0  X  X  0 2X  0  X  X  0  0
 0  0  X  0  0  0  0  0  X  X 2X 2X 2X  0  X  X  X  0  X 2X  0  0  X  0  X 2X 2X  0  X 2X  X  X  0  0 2X  X  0  0
 0  0  0  X  0  0  0  X 2X 2X 2X  X  X  0  0  X  X 2X 2X  0  X  0  X  X  0  0 2X  X 2X 2X 2X  X  X  0  X  X  0  0
 0  0  0  0  X  0  0 2X 2X  X  X  0 2X  X  0  0  X  X  0 2X  0 2X  X  0 2X  X  X  X  0 2X  X 2X  0  X  X  X  X  0
 0  0  0  0  0  X  0 2X  X 2X  X 2X  0  X  X 2X  0  0  0 2X  0  X 2X 2X 2X 2X  0  0 2X 2X  0 2X 2X  0 2X  0 2X  X
 0  0  0  0  0  0  X  X  0  X  0  X  0  X 2X  0 2X  X 2X  X  X  0 2X 2X  X  0 2X  X  0 2X  X 2X  0 2X 2X  0  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+62x^60+108x^63+262x^66+266x^69+486x^70+204x^72+972x^73+246x^75+1458x^76+258x^78+972x^79+158x^81+486x^82+270x^84+202x^87+96x^90+32x^93+22x^96

The gray image is a linear code over GF(3) with n=114, k=8 and d=60.
This code was found by Heurico 1.16 in 0.596 seconds.