The generator matrix

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

generates a code of length 36 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+75x^28+282x^29+737x^30+1222x^31+2587x^32+4270x^33+7370x^34+10040x^35+12163x^36+10190x^37+7600x^38+4340x^39+2469x^40+1094x^41+657x^42+264x^43+110x^44+32x^45+18x^46+6x^47+3x^48+4x^49+1x^50+1x^54

The gray image is a code over GF(2) with n=288, k=16 and d=112.
This code was found by Heurico 1.16 in 30.4 seconds.