The generator matrix

 1  1  1  1  1  1  1  1  1  2  0  1  2  1 12  1  1  2  0  2 12  2  1  1  1  2  1
 0  2 12  6  0  6 12 10  0  6  2  6 10 10  2 12  6  6  2 10  2  6  0 10 10  0  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  8  0  8  8  8  0  0  0  8  8  8  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  0  0  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  0  8  8  8  0  8  0  0  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  8  8  8  0  8  8  0  8  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  0  0  8  8  0  0  8  8  8  0  0  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+28x^20+38x^21+89x^22+206x^23+371x^24+1374x^25+812x^26+2406x^27+784x^28+1362x^29+350x^30+202x^31+81x^32+42x^33+28x^34+2x^35+12x^36+1x^38+3x^40

The gray image is a code over GF(2) with n=216, k=13 and d=80.
This code was found by Heurico 1.16 in 0.379 seconds.