The generator matrix

 1  0  0  0  1  1  1  1  1  1 21  1  6  1  1 12  9  1  6  1  1 12 24 12  1  1
 0  1  0  0 15 19  9 12 16 23  1 13  1 14 26  1  1 13  0 24 11  6  1  1 16 18
 0  0  1  0 16 19  7 23 20 24 13  6 17  9 13  3 23 26  1  3 23  1 23 18  5 21
 0  0  0  1 14 21  1 18 20  4 14 15 15 23  5  1 16  9 16 11 20 23  8  2 16  6

generates a code of length 26 over Z27 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+300x^43+786x^44+3168x^45+7224x^46+10884x^47+22788x^48+32436x^49+57270x^50+67014x^51+87480x^52+98658x^53+70556x^54+44436x^55+18888x^56+7686x^57+1530x^58+114x^59+90x^60+96x^61+24x^62+12x^63

The gray image is a code over GF(3) with n=234, k=12 and d=129.
This code was found by Heurico 1.16 in 170 seconds.