The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+76x^29+364x^30+714x^31+1315x^32+2440x^33+4249x^34+7482x^35+10374x^36+11340x^37+10539x^38+7594x^39+4382x^40+2304x^41+1188x^42+694x^43+298x^44+96x^45+40x^46+28x^47+14x^48+3x^50+1x^54

The gray image is a code over GF(2) with n=296, k=16 and d=116.
This code was found by Heurico 1.16 in 31.6 seconds.