The generator matrix

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

generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+262x^171+66x^174+192x^177+566x^180+474x^183+294x^186+212x^189+76x^198+28x^207+12x^216+2x^225+2x^252

The gray image is a linear code over GF(3) with n=273, k=7 and d=171.
This code was found by Heurico 1.16 in 0.329 seconds.