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

generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+118x^147+144x^148+108x^149+668x^150+402x^151+414x^152+1500x^153+690x^154+744x^155+2278x^156+1014x^157+1146x^158+3456x^159+1368x^160+1614x^161+3960x^162+1644x^163+1956x^164+4848x^165+2160x^166+2310x^167+5142x^168+1908x^169+1938x^170+4476x^171+1680x^172+1434x^173+3232x^174+1170x^175+906x^176+1772x^177+570x^178+354x^179+828x^180+252x^181+186x^182+272x^183+102x^184+12x^185+112x^186+18x^187+52x^189+42x^192+28x^195+8x^198+10x^201+2x^207

The gray image is a linear code over GF(3) with n=249, k=10 and d=147.
This code was found by Heurico 1.16 in 67.3 seconds.