The generator matrix

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

generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+562x^174+1684x^177+2370x^180+2584x^183+2678x^186+2504x^189+2410x^192+1794x^195+1514x^198+840x^201+506x^204+116x^207+84x^210+34x^213+2x^216

The gray image is a linear code over GF(3) with n=282, k=9 and d=174.
This code was found by Heurico 1.16 in 12.5 seconds.