The generator matrix

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

generates a code of length 84 over Z3[X]/(X^3) who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+276x^157+420x^158+476x^159+1326x^160+1656x^161+2474x^162+3438x^163+2436x^164+4566x^165+4878x^166+4086x^167+5794x^168+5664x^169+4260x^170+5124x^171+4008x^172+2100x^173+2384x^174+1674x^175+738x^176+250x^177+366x^178+162x^179+24x^180+132x^181+84x^182+32x^183+84x^184+66x^185+14x^186+24x^187+24x^188+6x^191+2x^192

The gray image is a linear code over GF(3) with n=756, k=10 and d=471.
This code was found by Heurico 1.16 in 12.7 seconds.