The generator matrix

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

generates a code of length 96 over Z27 who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+234x^183+378x^184+756x^185+850x^186+1332x^187+1386x^188+1060x^189+1350x^190+1584x^191+1046x^192+2124x^193+2052x^194+986x^195+1530x^196+1260x^197+564x^198+540x^199+252x^200+186x^201+36x^202+108x^204+46x^207+10x^210+6x^216+2x^225+2x^234+2x^243

The gray image is a code over GF(3) with n=864, k=9 and d=549.
This code was found by Heurico 1.16 in 2.11 seconds.