The generator matrix

 1  0  1  1  1  1  1 21  1  1  1
 0  1  1 26 18 16 17  1 25 21 26
 0  0 24  0 21 18 21 18  3 15  6
 0  0  0  9  9  0 18  9  9  0  9

generates a code of length 11 over Z27 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+72x^16+516x^18+432x^19+2916x^20+1488x^21+6210x^22+5832x^23+1548x^24+576x^25+86x^27+6x^30

The gray image is a code over GF(3) with n=99, k=9 and d=48.
This code was found by Heurico 1.16 in 6.77 seconds.