The generator matrix

 1  0  1  1  1  1  1 18  1  1  1
 0  1  1 26  0 25 17  1 18  4 21
 0  0 24  0  9  3 21  3 21 18 15
 0  0  0  3 15  9 15 15  9  6 24

generates a code of length 11 over Z27 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+64x^15+192x^16+240x^17+1410x^18+906x^19+8298x^20+4792x^21+19998x^22+16380x^23+4962x^24+1230x^25+354x^26+188x^27+30x^28+2x^30+2x^33

The gray image is a code over GF(3) with n=99, k=10 and d=45.
This code was found by Heurico 1.16 in 0.805 seconds.