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

generates a code of length 96 over Z27 who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+222x^181+348x^182+66x^183+456x^184+540x^185+262x^186+474x^187+1194x^188+1198x^189+894x^190+2832x^191+3462x^192+1308x^193+2868x^194+1394x^195+396x^196+360x^197+86x^198+180x^199+180x^200+36x^201+150x^202+168x^203+32x^204+114x^205+150x^206+2x^207+120x^208+78x^209+18x^210+48x^211+24x^212+2x^213+6x^214+6x^215+6x^217+2x^267

The gray image is a code over GF(3) with n=864, k=9 and d=543.
This code was found by Heurico 1.16 in 3.65 seconds.