The generator matrix

 1  1  1  1  1  1  1
 0  3  0 21  9  3 15
 0  0  3 15 15  3  9

generates a code of length 7 over Z27 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+36x^10+90x^11+28x^12+144x^13+1602x^14+48x^15+144x^16+90x^17+2x^18+2x^21

The gray image is a code over GF(3) with n=63, k=7 and d=30.
This code was found by Heurico 1.16 in 0.00141 seconds.