The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  8  1  1  1  1 12  2  1  1  4  2  1  1  1  2  1  0  1  1  0  2
 0  2  0  6  4 14 12  2  0  6  8 10  6  2 12 14  2 14  2 14  4  2 10 12  4  2  2 12  6 10 12  4  2  4  0  2 14
 0  0 12  0  4  4  0  4  0  8 12  8  0  8  0  4 12  4 12  4 12  0  0  8  4  4  4  8  8  0 12  8  0 12  0  8  4
 0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  8  0  8  0  8  8  8
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  8  8  0  0  8  8  8  8  8  0  0  0  8  8  0  8  0  8  8  8
 0  0  0  0  0  8  0  0  8  8  8  0  0  8  0  8  0  8  8  0  8  8  8  8  8  8  8  0  8  8  8  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  8  8  0  8  0  8  0  0  8  8  0  8  8  0
 0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  8  0  0  0  8  8  8  0  0  0  0  8  8  0  0  8  8  0  0  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+26x^29+85x^30+186x^31+309x^32+530x^33+852x^34+2506x^35+1829x^36+3726x^37+1856x^38+2534x^39+862x^40+550x^41+246x^42+142x^43+56x^44+32x^45+27x^46+8x^47+12x^48+6x^50+3x^52

The gray image is a code over GF(2) with n=296, k=14 and d=116.
This code was found by Heurico 1.16 in 2.7 seconds.