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

generates a code of length 97 over Z27 who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+134x^186+132x^187+216x^188+394x^189+252x^190+624x^191+574x^192+498x^193+1212x^194+636x^195+366x^196+774x^197+198x^198+126x^199+42x^200+64x^201+24x^202+12x^203+88x^204+18x^205+18x^206+44x^207+18x^208+18x^209+32x^210+18x^211+12x^213+6x^214+8x^216+2x^264

The gray image is a code over GF(3) with n=873, k=8 and d=558.
This code was found by Heurico 1.16 in 0.915 seconds.