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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 178.

Homogenous weight enumerator: w(x)=1x^0+108x^178+90x^179+182x^180+204x^181+168x^182+226x^183+258x^184+72x^185+126x^186+138x^187+36x^188+40x^189+84x^190+48x^191+50x^192+72x^193+12x^194+14x^195+54x^196+12x^197+34x^198+30x^199+30x^200+36x^201+6x^202+4x^204+6x^205+6x^206+8x^207+6x^208+6x^209+6x^211+6x^212+6x^213+2x^216

The gray image is a linear code over GF(3) with n=279, k=7 and d=178.
This code was found by Heurico 1.13 in 0.208 seconds.