The generator matrix

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

generates a code of length 36 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+92x^29+418x^30+624x^31+1289x^32+1904x^33+3731x^34+4920x^35+6467x^36+5378x^37+3905x^38+1742x^39+1228x^40+580x^41+285x^42+100x^43+64x^44+14x^45+13x^46+6x^47+6x^48+1x^52

The gray image is a code over GF(2) with n=288, k=15 and d=116.
This code was found by Heurico 1.16 in 8.46 seconds.