The generator matrix

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

generates a code of length 51 over Z27 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+244x^96+162x^97+630x^98+742x^99+486x^100+648x^101+760x^102+486x^103+864x^104+650x^105+324x^106+288x^107+250x^108+14x^111+6x^114+4x^117+2x^144

The gray image is a code over GF(3) with n=459, k=8 and d=288.
This code was found by Heurico 1.16 in 0.13 seconds.