The generator matrix

 1  0  1  1  1  6  1  1  0  1  1 14  1  1  6  1  1  8  1  6  1 14  2  1  1  0  0
 0  1 11  6  1  1  8  5  1  3  0  1  7  6  1 13  6  1  8  1  6  1  0 15  3  2  2
 0  0 12  0  0  0  0  0  0  0  0  8  8  4 12 12  4 12  4  4  4 12  8  8  0 12  4
 0  0  0 12  0  0  0  0  4  4 12 12  4 12 12  8  0  8 12  8  0 12  0  8  4  4  0
 0  0  0  0  4  0  8  4  0  4  8  0 12 12  8 12 12  4  8  8  0  4  8  0 12  8  8
 0  0  0  0  0 12 12  4 12  8 12  0  4  4  0 12  8 12  4 12  4  0  4  8  8  8  4

generates a code of length 27 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+228x^20+108x^21+778x^22+1080x^23+3458x^24+6684x^25+13036x^26+14768x^27+12721x^28+7108x^29+3646x^30+856x^31+738x^32+116x^33+168x^34+35x^36+4x^38+3x^40

The gray image is a code over GF(2) with n=216, k=16 and d=80.
This code was found by Heurico 1.16 in 15.8 seconds.