The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 18  1  1  1  1  3  1  1  1  3  1  1  1  1  3  1  3  1  1  1  3  3  1  3  1  3  1
 0  3  0  0 24 21 15  3 24 21 18  0 21 15  9 24 15 21  3 15 12 18  3 18 24  9 15 24  0  6 15  9 15 18 12 12  6 15  0 21  0 24 21  6  3  9 21 15 21 21 18  9 24 24  3  0  3  3 12 12  0 24  9  9 12 15  0  9 15  3  0 24 18  9  3  6 24 21 21  6 15  6 21 24 21 15 15  6 24  3 24 15  3 24  0  0
 0  0  3 24  0 15 21  3  6  6 21  0  3 21 15  9 24  9  3 12  6  3  9 24  9 18 24 21 18  9 15 21 21 24 15  9  0 24  3 18  6 18 21 24  3  9 24  6 18 18  3 21  9 21  3 15  6 12  3 15  9 12 24  9 18  0  6  9  3 12  0 15 24  3 21  0 24  6  0  3 12 12 12  9 21 21  6 18 18 21 18  0 12  9 24  9
 0  0  0  9  0  0 18  0  0  9 18  9 18  9 18  0  9 18  9  0 18  9  9  0  0 18  0 18  9 18 18  0 18 18 18  9  9  9 18 18  9  9  0 18  0  0  0 18  9  0  9  9  9  9 18 18 18 18  9  0 18  9  0  9  0 18  0  0  0  0 18  0  9  9  0 18  9  9  0  0  0  0 18  9  9  9  9  0  0  9  9  9  9  9  0  9
 0  0  0  0  9 18  0  9 18  0 18  9  0  0  0  0  0 18 18  9  9 18  9  0 18  0  9 18 18  0 18 18  9  9  0  0 18  9  9  9  9  0  0  9 18  9  0  0 18 18  9  0  9 18  9 18 18 18  0  9 18  9  9  0  9  9 18 18  0  0  9  0  0  0  9 18 18 18  9 18  0  9  0  9 18  0  9 18  9  0  9  9  0 18 18 18

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

Homogenous weight enumerator: w(x)=1x^0+74x^180+96x^181+180x^182+504x^183+348x^184+294x^185+854x^186+678x^187+204x^188+1550x^189+2898x^190+186x^191+2254x^192+4764x^193+132x^194+1732x^195+1074x^196+144x^197+462x^198+120x^199+96x^200+220x^201+60x^202+84x^203+166x^204+78x^205+66x^206+116x^207+72x^208+60x^209+64x^210+12x^211+12x^212+20x^213+6x^214+2x^261

The gray image is a code over GF(3) with n=864, k=9 and d=540.
This code was found by Heurico 1.16 in 3.64 seconds.