The generator matrix

 1  1  1  1  1  1  1  1  1 18
 0  3  0  0 18 21 21  3  6  3
 0  0  3  0 21 15  6 12 15  9
 0  0  0  3 15  6  9  6 15  3

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

Homogenous weight enumerator: w(x)=1x^0+720x^15+3138x^18+8748x^20+6156x^21+900x^24+20x^27

The gray image is a code over GF(3) with n=90, k=9 and d=45.
This code was found by Heurico 1.16 in 5.89 seconds.