The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  3  1  1  1  1
 0  3  0  0 18  3 21  3 18 21 15 24  9 12 21 18 15 18 15 15 15
 0  0  3  0 21 24 24  9 15 21 18  9 24  3  0  6 18 24 21  3 15
 0  0  0  3 15 12 15 21 18 21 21 18  3  0  9  6 12  9 24 12  9

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

Homogenous weight enumerator: w(x)=1x^0+378x^35+264x^36+936x^38+512x^39+1944x^40+1782x^41+6450x^42+3888x^43+1944x^44+552x^45+684x^47+224x^48+108x^50+12x^51+2x^54+2x^57

The gray image is a code over GF(3) with n=189, k=9 and d=105.
This code was found by Heurico 1.16 in 0.955 seconds.