The generator matrix

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

generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+222x^148+378x^149+452x^150+1014x^151+1398x^152+1420x^153+2250x^154+2652x^155+2362x^156+3918x^157+4674x^158+3582x^159+5496x^160+6822x^161+4906x^162+7884x^163+7884x^164+6370x^165+9438x^166+9792x^167+6938x^168+10020x^169+10134x^170+6586x^171+9612x^172+8718x^173+6056x^174+7620x^175+6456x^176+3652x^177+4506x^178+4050x^179+2184x^180+2466x^181+1956x^182+936x^183+882x^184+516x^185+302x^186+240x^187+168x^188+136x^189+36x^190+12x^191+24x^192+6x^193+10x^195+2x^198+2x^201+2x^207+4x^213

The gray image is a linear code over GF(3) with n=252, k=11 and d=148.
This code was found by Heurico 1.16 in 697 seconds.