The generator matrix

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

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+732x^157+1038x^158+2282x^159+3852x^160+5580x^161+6246x^162+8736x^163+10068x^164+11460x^165+12966x^166+14718x^167+16358x^168+15804x^169+16128x^170+13640x^171+11892x^172+9204x^173+6060x^174+4734x^175+2586x^176+1226x^177+816x^178+360x^179+224x^180+114x^181+54x^182+66x^183+72x^184+36x^185+6x^186+48x^187+22x^189+12x^190+6x^191

The gray image is a linear code over GF(3) with n=756, k=11 and d=471.
This code was found by Heurico 1.16 in 93.7 seconds.