The generator matrix

 1  0  0  1  1  1  1  1  1 15  1  1  0  1  3  1  1  1  9  1  6  1 21  1  1
 0  1  0 15  1 16 17 16 14  1  0 17  1  2  1  3  4 13 15 26  1  9  3 11  0
 0  0  1 25  1 15 20 14 16 19 26 21 23  3 11  2 26  3  1 22 25  6  1 17  8
 0  0  0 18 18  9  9 18  0  9 18  0  9  9  0  0  9 18  9  9  0 18 18  0  0

generates a code of length 25 over Z27 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+198x^43+570x^44+1762x^45+2754x^46+3036x^47+6212x^48+8250x^49+9342x^50+11188x^51+8496x^52+3966x^53+2396x^54+684x^55+78x^56+64x^57+30x^58+18x^59+2x^60+2x^72

The gray image is a code over GF(3) with n=225, k=10 and d=129.
This code was found by Heurico 1.16 in 2.34 seconds.