The generator matrix

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

generates a code of length 94 over Z27 who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+1338x^177+1530x^178+1764x^179+5588x^180+5220x^181+5184x^182+10572x^183+10062x^184+9252x^185+15732x^186+13878x^187+12240x^188+17982x^189+14886x^190+10098x^191+13680x^192+9216x^193+5274x^194+6492x^195+2952x^196+1278x^197+1630x^198+522x^199+108x^200+288x^201+54x^202+192x^204+98x^207+30x^210+6x^213

The gray image is a code over GF(3) with n=846, k=11 and d=531.
This code was found by Heurico 1.16 in 763 seconds.