The generator matrix

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

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+124x^174+84x^175+138x^176+364x^177+126x^178+90x^179+240x^180+102x^181+138x^182+156x^183+60x^184+30x^185+90x^186+42x^187+18x^188+68x^189+30x^190+24x^191+40x^192+18x^193+24x^194+56x^195+12x^196+18x^197+42x^198+6x^199+28x^201+6x^203+6x^207+6x^208

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 0.192 seconds.