The generator matrix

 1  0  1  1  1  1  1 18  1  1 21  1 21  1  1  1  1  1 15  1 24  1  1  1  1  1  1  1  1 18
 0  1  1 26  7 18 17  1 25 20  1  3  1 24  4  4  0 20  1 16  1 22  3  1 23  4  4 19 25  1
 0  0 24  0  0 21 21 21  3 15  9  3  6  9  0  6  6 18  3 15 15  3 21 21  9  0  0 18  3  3
 0  0  0  9  0 18  9  9  9  0  0  0  9  9 18 18  9 18  0 18  0 18 18  9  0  9 18  0 18 18
 0  0  0  0  9  0  0  9  9 18  9 18 18 18  9  0 18 18  0 18  0  0  9  0  0 18 18  9 18  0

generates a code of length 30 over Z27 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+130x^51+246x^52+372x^53+964x^54+1116x^55+2232x^56+4000x^57+6132x^58+7800x^59+8950x^60+10926x^61+7872x^62+5130x^63+1710x^64+612x^65+370x^66+258x^67+66x^68+100x^69+24x^70+30x^72+4x^75+4x^81

The gray image is a code over GF(3) with n=270, k=10 and d=153.
This code was found by Heurico 1.16 in 3.72 seconds.