The generator matrix

 1  0  0  1  1  1 15 15  1 18  1
 0  1  0  1 15 26  1  1 18  1 18
 0  0  1 26 16 26 22 19 20 14 18
 0  0  0 24 15  9  3 15  6 21 12

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

Homogenous weight enumerator: w(x)=1x^0+76x^15+648x^16+372x^17+4626x^18+3750x^19+23292x^20+17752x^21+56682x^22+46260x^23+17946x^24+4986x^25+546x^26+176x^27+30x^28+2x^30+2x^33

The gray image is a code over GF(3) with n=99, k=11 and d=45.
This code was found by Heurico 1.16 in 5.53 seconds.