The generator matrix

 1  0  1  1  1  1  1
 0  1  7 26 21  0 21
 0  0  9  0 18  9 18
 0  0  0  9  9 18 18

generates a code of length 7 over Z27 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+34x^9+108x^10+720x^12+432x^13+3402x^14+1368x^15+432x^16+64x^18

The gray image is a code over GF(3) with n=63, k=8 and d=27.
This code was found by Heurico 1.16 in 0.00473 seconds.