The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+162x^30+68x^31+530x^32+476x^33+1370x^34+1716x^35+2636x^36+2636x^37+2433x^38+1740x^39+1422x^40+468x^41+460x^42+60x^43+140x^44+4x^45+52x^46+7x^48+2x^50+1x^54

The gray image is a code over GF(2) with n=296, k=14 and d=120.
This code was found by Heurico 1.16 in 2.93 seconds.