The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+48x^22+150x^23+481x^24+758x^25+1905x^26+1544x^27+1903x^28+734x^29+471x^30+120x^31+46x^32+10x^33+7x^34+8x^35+1x^36+2x^37+1x^38+2x^39

The gray image is a code over GF(2) with n=216, k=13 and d=88.
This code was found by Heurico 1.16 in 0.333 seconds.