The generator matrix

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

generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+106x^84+162x^85+210x^86+324x^87+462x^88+234x^89+418x^90+630x^91+246x^92+350x^93+540x^94+300x^95+382x^96+468x^97+204x^98+256x^99+426x^100+168x^101+224x^102+198x^103+66x^104+76x^105+24x^106+30x^107+36x^108+6x^109+4x^111+10x^114

The gray image is a linear code over GF(3) with n=141, k=8 and d=84.
This code was found by Heurico 1.16 in 0.434 seconds.