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

generates a code of length 51 over Z27 who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+240x^98+82x^99+162x^100+354x^101+580x^102+324x^103+276x^104+48x^105+48x^107+8x^108+24x^110+8x^111+30x^113+2x^144

The gray image is a code over GF(3) with n=459, k=7 and d=294.
This code was found by Heurico 1.16 in 0.0556 seconds.