The generator matrix

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

generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+46x^141+188x^144+12x^145+394x^147+270x^148+564x^150+774x^151+892x^153+1458x^154+1242x^156+2592x^157+1838x^159+4554x^160+2384x^162+5964x^163+2764x^165+7230x^166+2542x^168+6426x^169+2468x^171+5052x^172+1738x^174+3108x^175+1046x^177+1350x^178+690x^180+474x^181+292x^183+84x^184+284x^186+18x^187+136x^189+96x^192+50x^195+18x^198+8x^201+2x^204

The gray image is a linear code over GF(3) with n=249, k=10 and d=141.
This code was found by Heurico 1.16 in 77.6 seconds.