The generator matrix

 1  0  1  1  1  1  1  1  0  1 18  1  1  1  1 24  1 21  1  1  3 21  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 15  0 24 24  1  1  1 24  1  1  1  1  6  1  1  1  0  1  1  1  1 21  3  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1 18  1  1  9  6  1  1  1  1  3 18
 0  1  1 26 21 20 16 24  1 22  1 17  5 16 18  1  4  1 26  0  1  1  1 20  6 23 19 25  0 23  2  6 16 21 20 25  3  9 24  1  1  1  1  9 22 26  1 19 11 19 20  1  5  8 17  1  6 11  0  1  1  1 21 14 19 25 24  6 19  1  5 11 20 14  8 24 12  9  1 22  4 20 13  1 13  1  0  2  1  1  1 16  9 16  1  3
 0  0 24  0 18 18  9  0  6 21 21 21 15  6 12 15 24 15 24 15 21  0  3 15 24  0 18 18 15 12 12 21 24 15 15 21 12 21  9  3  9  0 15 12 12  6  0  9 21 15 12 21 24  3  0 21  3  6  6  3  9 15  9 18 15  9 21  6 21 12  0  9 24  6 18  9 15 18 21  0 18 12 15  3 12 18  9 21  0 24  9 24 18  0  3 15
 0  0  0  9  9  0 18 18 18  9  9  0  0 18  0  0  9  9 18  0  0 18 18  9 18 18  0 18  9  9 18  9  0  0 18  0  0 18  9  9  9 18 18  9 18  9  0  9 18 18  0  0 18  9 18 18  0  0 18 18  0  0  0  9  9  9 18  9  0 18  0 18  0  9  0  0  9 18  9  9  0  9  0  9  0 18  9  0  9  9 18 18  0  0 18  9

generates a code of length 96 over Z27 who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+336x^184+732x^185+726x^186+1530x^187+1884x^188+972x^189+1326x^190+2172x^191+1262x^192+1722x^193+1530x^194+984x^195+1188x^196+1404x^197+546x^198+468x^199+474x^200+118x^201+138x^202+30x^203+18x^205+6x^206+12x^208+18x^209+4x^210+30x^211+12x^212+18x^214+2x^216+12x^217+2x^219+6x^220

The gray image is a code over GF(3) with n=864, k=9 and d=552.
This code was found by Heurico 1.16 in 2.31 seconds.