The generator matrix

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

generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+648x^174+1050x^177+1294x^180+978x^183+630x^186+696x^189+426x^192+336x^195+244x^198+138x^201+72x^204+42x^207+6x^210

The gray image is a linear code over GF(3) with n=276, k=8 and d=174.
This code was found by Heurico 1.16 in 4.55 seconds.