The generator matrix

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

generates a code of length 51 over Z3[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+52x^84+6x^86+166x^87+96x^89+300x^90+588x^92+556x^93+1122x^95+750x^96+2016x^98+912x^99+2964x^101+1056x^102+3174x^104+1034x^105+2088x^107+778x^108+822x^110+460x^111+234x^113+220x^114+12x^116+128x^117+88x^120+44x^123+14x^126+2x^129

The gray image is a linear code over GF(3) with n=153, k=9 and d=84.
This code was found by Heurico 1.16 in 4.91 seconds.