The generator matrix

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

generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+330x^174+468x^177+404x^180+292x^183+308x^186+82x^189+144x^192+100x^195+38x^198+4x^201+4x^204+6x^207+2x^210+2x^213+2x^228

The gray image is a linear code over GF(3) with n=273, k=7 and d=174.
This code was found by Heurico 1.16 in 9.46 seconds.