The generator matrix

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

generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+162x^157+282x^158+86x^159+378x^160+510x^161+134x^162+582x^163+498x^164+114x^165+468x^166+372x^167+156x^168+342x^169+348x^170+58x^171+288x^172+360x^173+62x^174+312x^175+222x^176+48x^177+150x^178+144x^179+28x^180+150x^181+102x^182+20x^183+30x^184+42x^185+12x^186+48x^187+24x^188+4x^189+6x^190+12x^191+2x^192+2x^195+2x^204

The gray image is a linear code over GF(3) with n=252, k=8 and d=157.
This code was found by Heurico 1.16 in 0.996 seconds.