The generator matrix

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

generates a code of length 97 over Z27 who´s minimum homogenous weight is 192.

Homogenous weight enumerator: w(x)=1x^0+432x^192+108x^193+1134x^194+360x^195+54x^196+36x^198+54x^201+4x^207+2x^216+2x^234

The gray image is a code over GF(3) with n=873, k=7 and d=576.
This code was found by Heurico 1.16 in 0.435 seconds.