The generator matrix

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

generates a code of length 96 over Z27 who´s minimum homogenous weight is 187.

Homogenous weight enumerator: w(x)=1x^0+462x^187+888x^188+828x^189+798x^190+720x^191+266x^192+552x^193+402x^194+64x^195+360x^196+414x^197+362x^198+234x^199+156x^200+6x^201+18x^202+6x^203+6x^204+6x^206+6x^208+2x^213+4x^228

The gray image is a code over GF(3) with n=864, k=8 and d=561.
This code was found by Heurico 1.16 in 14.4 seconds.