The generator matrix

 1  0  1  1  1  4  1  1  2  1  1 12  1  1  4  1  1  1  1  8  1  4  1  1  8  2  8
 0  1  1  0 11  1  9 12  1 14  5  1  2  2  1  0 10  1  1  2  9  1  7 13  2  0  1
 0  0  2  0  0  0  8 10 10  2  2  2  2  4  2  6  8  4  6  6  2 12 10 14  8 14 12
 0  0  0  2  4  2 14 12  6  6  2  4  0 14  6  6  0  6 12  2  2 14 14  4 10 12  8
 0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  0  0  8  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  0  8  0  8  0  8

generates a code of length 27 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+196x^21+581x^22+1802x^23+3096x^24+8018x^25+11693x^26+14664x^27+11670x^28+8328x^29+3167x^30+1562x^31+429x^32+226x^33+79x^34+20x^35+2x^36+2x^40

The gray image is a code over GF(2) with n=216, k=16 and d=84.
This code was found by Heurico 1.16 in 14.9 seconds.