The generator matrix

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

generates a code of length 99 over Z27 who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+344x^186+786x^187+1998x^188+3112x^189+4110x^190+5892x^191+7204x^192+7638x^193+10938x^194+11974x^195+11316x^196+13602x^197+15196x^198+14112x^199+14784x^200+12886x^201+10782x^202+10134x^203+7536x^204+4392x^205+3678x^206+2068x^207+1008x^208+450x^209+512x^210+168x^211+150x^212+60x^213+66x^214+60x^215+62x^216+48x^217+6x^218+32x^219+6x^220+18x^221+12x^224+6x^225

The gray image is a code over GF(3) with n=891, k=11 and d=558.
This code was found by Heurico 1.16 in 103 seconds.