The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1
 0  9  0  0  0  0  0  0  0  0  9  9  9  9  9 18 18 18  0 18 18  9  9  9  9  0
 0  0  9  0  0  0  0  0  9  9 18 18 18  9 18  0 18 18  9  0 18  0 18  9 18  9
 0  0  0  9  0  0  0  9 18 18 18  9  9  0  0  9  0  0  9  0 18  9  9 18 18  0
 0  0  0  0  9  0  0 18 18  9  9  0 18 18 18  9  0  0  0  9 18  9  9  9  0  9
 0  0  0  0  0  9  0 18  9 18  9 18  0 18 18  0  0  9  9 18  9  9 18  0  9 18
 0  0  0  0  0  0  9  9  0  9  0  9  0 18  0 18 18  0 18  9  0  9 18  9 18  0

generates a code of length 26 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+106x^39+204x^42+254x^45+274x^48+1458x^50+282x^51+13122x^52+2916x^53+290x^54+324x^57+264x^60+126x^63+50x^66+6x^69+4x^72+2x^75

The gray image is a code over GF(3) with n=234, k=9 and d=117.
This code was found by Heurico 1.16 in 0.956 seconds.