The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  4  1  1  2  4  1  2  1  1  1
 0 12  0  0  0  4 12 12  8  8  0  0  4 12  8  4  8 12  0  8  0  4 12  8  4 12  0
 0  0 12  0  4  4  4  0  8  0  4 12 12 12  8  8  0  4 12 12 12  0 12  4  4  4  4
 0  0  0 12  4  8  4  4  0  4  4  0  0 12 12  0 12 12  4  8  8 12  0  8  4  4 12
 0  0  0  0  8  8  0  8  8  8  0  8  8  8  0  8  0  0  8  0  0  0  0  8  0  8  8

generates a code of length 27 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+30x^22+74x^23+88x^24+174x^25+391x^26+542x^27+428x^28+166x^29+42x^30+54x^31+23x^32+10x^33+16x^34+2x^35+4x^36+2x^37+1x^42

The gray image is a code over GF(2) with n=216, k=11 and d=88.
This code was found by Heurico 1.16 in 0.0455 seconds.