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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+138x^162+240x^165+390x^168+42x^169+460x^171+126x^172+428x^174+534x^175+558x^177+1098x^178+444x^180+1596x^181+512x^183+2490x^184+512x^186+2736x^187+476x^189+2352x^190+412x^192+1338x^193+386x^195+660x^196+370x^198+138x^199+350x^201+12x^202+310x^204+234x^207+142x^210+100x^213+60x^216+20x^219+10x^222+4x^225+2x^228+2x^231

The gray image is a linear code over GF(3) with n=279, k=9 and d=162.
This code was found by Heurico 1.16 in 19.3 seconds.