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

generates a code of length 50 over Z27 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+148x^96+72x^97+240x^98+120x^99+1014x^100+384x^101+40x^102+24x^103+24x^104+50x^105+24x^106+32x^108+12x^111+2x^147

The gray image is a code over GF(3) with n=450, k=7 and d=288.
This code was found by Heurico 1.16 in 0.0525 seconds.