The generator matrix

 1  0  1  1  1  1 18  1  1  1 21  1  1  1 24  1  1  1  1  1 21  1  1  1  3  0
 0  1  1 26  7 18  1 17 25  3  1 20  4 24  1  4 23  1 16 20  1 20 15 19  0  1
 0  0 24  0  0 21 21 21  3 12 15 15  6 18  0 18  6 12  6 18 24  6  3 24 24  0
 0  0  0  9  0  9 18 18  9 18  0  9  0  9  9 18  0  0  9 18 18  0  0  9  0  9
 0  0  0  0  9  0 18 18 18  9 18  0  9 18  9 18 18  0 18  9 18  0  9 18  9  0

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

Homogenous weight enumerator: w(x)=1x^0+78x^43+222x^44+264x^45+918x^46+978x^47+2844x^48+3384x^49+5442x^50+10204x^51+8052x^52+8832x^53+10192x^54+4698x^55+1830x^56+496x^57+342x^58+174x^59+32x^60+24x^61+18x^62+6x^63+8x^66+6x^69+4x^72

The gray image is a code over GF(3) with n=234, k=10 and d=129.
This code was found by Heurico 1.16 in 4.05 seconds.