The generator matrix

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

generates a code of length 96 over Z27 who´s minimum homogenous weight is 188.

Homogenous weight enumerator: w(x)=1x^0+2160x^188+64x^189+1728x^191+648x^192+1728x^197+216x^200+16x^216

The gray image is a code over GF(3) with n=864, k=8 and d=564.
This code was found by Heurico 1.16 in 0.586 seconds.