The generator matrix

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

generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+106x^162+60x^163+210x^164+500x^165+336x^166+678x^167+758x^168+552x^169+1284x^170+1404x^171+960x^172+2106x^173+1802x^174+1338x^175+3012x^176+2118x^177+1596x^178+3636x^179+2474x^180+1926x^181+3744x^182+2800x^183+1866x^184+4080x^185+2680x^186+1758x^187+3354x^188+2092x^189+1326x^190+2418x^191+1396x^192+846x^193+1098x^194+838x^195+360x^196+468x^197+366x^198+156x^199+108x^200+170x^201+42x^202+42x^203+66x^204+6x^206+48x^207+24x^210+14x^213+14x^216+4x^219+6x^222+2x^225

The gray image is a linear code over GF(3) with n=273, k=10 and d=162.
This code was found by Heurico 1.16 in 75.1 seconds.