The generator matrix

 1  0  1  1  1  1  1
 0  1  1  0 25  0  0
 0  0 24 21  3 24  0
 0  0  0 18  0  9  0
 0  0  0  0  9 18  0

generates a code of length 7 over Z27 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+92x^6+198x^8+318x^9+1296x^10+540x^11+6314x^12+1296x^13+31860x^14+12310x^15+3240x^16+936x^17+626x^18+22x^21

The gray image is a code over GF(3) with n=63, k=10 and d=18.
This code was found by Heurico 1.16 in 0.149 seconds.