The generator matrix

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

generates a code of length 10 over Z27 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+72x^15+222x^18+1458x^20+324x^21+90x^24+20x^27

The gray image is a code over GF(3) with n=90, k=7 and d=45.
This code was found by Heurico 1.16 in 0.00308 seconds.