The generator matrix

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

generates a code of length 40 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+74x^60+184x^63+18x^64+78x^65+364x^66+108x^67+432x^68+444x^69+702x^70+1284x^71+528x^72+1962x^73+2856x^74+702x^75+4266x^76+4932x^77+820x^78+6858x^79+6414x^80+768x^81+6768x^82+5574x^83+788x^84+4050x^85+3222x^86+696x^87+1350x^88+1212x^89+556x^90+162x^91+240x^92+334x^93+176x^96+92x^99+26x^102+4x^105+4x^108

The gray image is a linear code over GF(3) with n=120, k=10 and d=60.
This code was found by Heurico 1.16 in 27.3 seconds.