The generator matrix

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

generates a code of length 17 over Z27 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+44x^21+148x^24+224x^27+282x^30+390x^33+17496x^34+492x^36+348x^39+162x^42+66x^45+28x^48+2x^51

The gray image is a code over GF(3) with n=153, k=9 and d=63.
This code was found by Heurico 1.16 in 0.37 seconds.