The generator matrix

 1  0  0  1  1  1  1  1  1  1 18  1  3  1  1  0  1  1  1  0 24  3  1  1  1  1 24  1  1  1  6 21  1  1  1  1  1  1  9  1  1  1  9 21  1  1  1  1  1  9  1  1  6  1  3  1  1  1 12  1  1  1  1 18  1  1  3 21  1  1  1 21  1 12  0  1  1 24  1  1  3  9  1  1  1  1  1 18  0  1  1  1  1  1  1 18  1
 0  1  0  0  9 16 16 14  1 14  1 26  1 24 12  1 17 22 12 12  1  1 16 17 22 14  1 19  9  7  9  1  5 12  1 24 15  2  1  1 13 23  1  3 20  0  5  6 16  1  3 16  1  1  1 21 11 18  1  5 22 20 20  1 12 13  1  1 23 11 14  1 10  1  1 26 21  1  6 15  1  1  6  9 21  4 13  1  9 13  5 12 11 18 26  1  9
 0  0  1  1 17 17 15 16  7 21 16 23  2  4 12  4 19 21  2  1  2  3 22 11 23  0  5  8 25  6  1 13  4  6 19  5 14 22  4  3  4  3 12  1  3  6 20  1  8  9 14 14  7 13 23  2  7 10  3  4 11 15 20 16  3 21  4  1  6 20  5 15  3  9 26 16  4 17 17  1 23  6  8 18  0  9 19 19  1 26  9 21 15 20 14 18  3
 0  0  0 24 18  9  0  9  0 18 18  0  9  0  0 18  9  9  9 21  3 15 12 24 15 24 24 12  3 15 15 24  3 24 24  6 12 24 12 21 21 12  3  0 15 21 21 15 21 15 12  9 15 15  3 15 12  0  9 15 21  3 15 21  6 15 18  6 24  0  3  3 18 15 18  0  9 12  3 21  0  3  9 12 24 15  9  6 12 24 18 21  9  6 21 12 24

generates a code of length 97 over Z27 who´s minimum homogenous weight is 182.

Homogenous weight enumerator: w(x)=1x^0+348x^182+784x^183+1656x^184+3132x^185+5678x^186+3816x^187+7230x^188+9416x^189+8112x^190+12144x^191+13658x^192+12036x^193+14586x^194+17586x^195+12162x^196+13740x^197+13396x^198+7110x^199+7386x^200+5596x^201+2778x^202+2172x^203+1358x^204+300x^205+288x^206+210x^207+78x^208+114x^209+68x^210+36x^211+48x^212+38x^213+12x^214+36x^215+8x^216+18x^217+6x^218+6x^221

The gray image is a code over GF(3) with n=873, k=11 and d=546.
This code was found by Heurico 1.16 in 100 seconds.