The generator matrix

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

generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+146x^147+24x^149+308x^150+330x^152+442x^153+876x^155+746x^156+1644x^158+1070x^159+2802x^161+1518x^162+4284x^164+2252x^165+5796x^167+2740x^168+6948x^170+2974x^171+6210x^173+2704x^174+4926x^176+1982x^177+3216x^179+1136x^180+1572x^182+614x^183+570x^185+406x^186+150x^188+254x^189+18x^191+142x^192+122x^195+68x^198+36x^201+14x^204+6x^207+2x^210

The gray image is a linear code over GF(3) with n=255, k=10 and d=147.
This code was found by Heurico 1.16 in 80.5 seconds.