The generator matrix

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

generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+942x^150+2746x^153+4848x^156+5988x^159+7620x^162+8538x^165+8706x^168+7774x^171+5676x^174+3768x^177+1682x^180+540x^183+198x^186+20x^189+2x^198

The gray image is a linear code over GF(3) with n=249, k=10 and d=150.
This code was found by Heurico 1.16 in 98.6 seconds.