The generator matrix

 1  0  1  1  1  1 18  1  1  1 21  1  1  1  1 24  1  1 24  1  1  1  1  1  0  1  3  1  1
 0  1  1 26  7 18  1 17 25  3  1 20  4 26 21  1 15 16  1  1 24 20 24 17  1  0 21  1  3
 0  0 24  0  0 21 21 21  3 12 15 15  6 15  6  9 12  6  6 21  9  0  9  3  0 15 15 12  3
 0  0  0  9  0  9 18 18  9 18  0  9  0  9  0 18  0  9  9  0  9  9  9  0  9  0  9 18  9
 0  0  0  0  9  0 18 18 18  9 18  0  9 18 18 18  0  9 18  0  0 18  9  9  0  0  9  0 18

generates a code of length 29 over Z27 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+114x^49+330x^50+96x^51+1104x^52+1644x^53+1950x^54+4518x^55+5532x^56+7262x^57+11166x^58+8274x^59+7284x^60+5856x^61+2892x^62+112x^63+504x^64+246x^65+26x^66+60x^67+36x^68+18x^69+6x^70+16x^72+2x^75

The gray image is a code over GF(3) with n=261, k=10 and d=147.
This code was found by Heurico 1.16 in 15.5 seconds.