The generator matrix

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

generates a code of length 23 over Z27 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+24x^42+54x^44+24x^45+486x^46+108x^47+14x^48+12x^51+2x^54+2x^57+2x^66

The gray image is a code over GF(3) with n=207, k=6 and d=126.
This code was found by Heurico 1.16 in 0.00361 seconds.