The generator matrix

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

generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+242x^150+138x^151+282x^152+850x^153+354x^154+492x^155+1296x^156+606x^157+570x^158+1474x^159+666x^160+600x^161+1620x^162+714x^163+654x^164+1352x^165+492x^166+582x^167+1396x^168+504x^169+378x^170+1156x^171+432x^172+432x^173+770x^174+270x^175+252x^176+500x^177+132x^178+90x^179+228x^180+48x^181+42x^182+38x^183+18x^184+6x^186+6x^189

The gray image is a linear code over GF(3) with n=246, k=9 and d=150.
This code was found by Heurico 1.16 in 9.09 seconds.