The generator matrix

 1  0  1  1  1  6  1  1 12  1 14  1  1  8  1  2  1  1  4  1  1  1  1  1  1  0  1
 0  1 11  6 13  1  0  7  1 14  1  5  3  1  4  1 10  9  1 12 15  3 15  8 15  1  3
 0  0 12  0  4  0 12 12  8  4  4  0  0  4  4 12  8  0 12  0  0  8  0  4  8  0  8
 0  0  0  8  0  0  0  8  8  8  0  8  0  0  0  8  8  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  0  0  8  0  8  8  0  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  8  8  8  8  0  0  0  0  8  8  8
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  0  8  8  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+68x^21+127x^22+192x^23+725x^24+2048x^25+3252x^26+3584x^27+3252x^28+2040x^29+706x^30+192x^31+113x^32+64x^33+4x^34+4x^36+4x^37+7x^38+1x^40

The gray image is a code over GF(2) with n=216, k=14 and d=84.
This code was found by Heurico 1.16 in 23.1 seconds.