The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  0 12  1  2  2  1  0  1  2  1  1  1  2  1  1
 0  2  0  2  0  0  6 14  0 12  6  8  2  2  2 10  8 12  8  6  4 12 10 14  0  4  8
 0  0  2  2  0 14  6  0  4  2  0  6  8  6  2  2 14  6  2  4  2  8 14 12  0  8  0
 0  0  0  4 12  4  0  4 12  4  8  4  0  8  8  4  8  8  0  4  0  8  4  8  4 12  4
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  0  0  0  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  8  0  8  0  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  0  8  8  8  0  0  0  8  8  8  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+54x^20+274x^21+361x^22+1026x^23+1419x^24+3662x^25+5356x^26+8498x^27+5276x^28+3666x^29+1518x^30+1078x^31+265x^32+202x^33+60x^34+22x^35+22x^36+4x^37+1x^38+3x^40

The gray image is a code over GF(2) with n=216, k=15 and d=80.
This code was found by Heurico 1.16 in 5.38 seconds.