The generator matrix

 1  0  1  1  1  1  1 18  1 24  1  1  1  1  0  1  1  1  1 12  1
 0  1  1 26  0 25 17  1 18  1 25  2  9 16  1 14  3 26 25  1 20
 0  0 24  0  9  3 21  3 21  6 12 21  3  6 21 24 24 21  0  3 18
 0  0  0  3 15  9 15 15  9  0  6 18  6  6 12 21  3 21 21 18 24

generates a code of length 21 over Z27 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+318x^35+748x^36+432x^37+2784x^38+2268x^39+6156x^40+8922x^41+11730x^42+11664x^43+9078x^44+3202x^45+702x^46+672x^47+252x^48+96x^50+24x^51

The gray image is a code over GF(3) with n=189, k=10 and d=105.
This code was found by Heurico 1.16 in 7.39 seconds.