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

generates a code of length 96 over Z27 who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+438x^180+588x^181+1716x^182+3246x^183+4320x^184+4644x^185+8100x^186+7884x^187+9120x^188+12798x^189+11862x^190+13470x^191+16640x^192+14424x^193+13746x^194+14598x^195+10962x^196+8268x^197+8156x^198+4620x^199+2724x^200+2134x^201+1002x^202+600x^203+510x^204+102x^205+60x^206+78x^207+78x^208+54x^209+72x^210+36x^211+18x^212+54x^213+6x^214+12x^215+6x^217

The gray image is a code over GF(3) with n=864, k=11 and d=540.
This code was found by Heurico 1.16 in 99 seconds.