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

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

Homogenous weight enumerator: w(x)=1x^0+90x^183+72x^184+78x^185+260x^186+168x^187+678x^188+318x^189+366x^190+1458x^191+192x^192+714x^193+1014x^194+176x^195+510x^196+66x^197+60x^198+42x^199+24x^201+12x^202+42x^203+32x^204+24x^205+66x^206+60x^207+24x^208+12x^211+2x^270

The gray image is a code over GF(3) with n=864, k=8 and d=549.
This code was found by Heurico 1.16 in 1.27 seconds.