The generator matrix

 1  0  1  1  1  6  1 12  1  1  1 14  1  1  8 14  1  1 10  1  1  1  8  1  1  1  0  0  1  1  1  1 12  1  0  1  1
 0  1 11  6 13  1  8  1 11 13  6  1 10  1  1  1  3  5  1  0 14  8  1  6 15  9  1  0  4  3  6  4  1  0  2 10  0
 0  0 12  0  4  0  0  8  8  0  0  8  0  8 12 12  8  4  4 12 12 12  0 12 12 12 12  8  8  8  4 12  4 12  4  0  0
 0  0  0 12  0  0  4  8 12  4  8 12  0  4  8  8  0 12 12 12  0  0  4  4 12 12  4  4  4  8  8  0 12  4  0  8  0
 0  0  0  0  8  0  8  8  8  0  0  8  8  0  0  8  0  8  0  8  8  0  8  0  0  0  8  0  0  0  8  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  0  0  8  8  0  0  8  0  8  0  8  8  0  8  8  8  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+48x^30+102x^31+201x^32+710x^33+916x^34+2292x^35+2178x^36+3498x^37+2170x^38+2434x^39+898x^40+532x^41+178x^42+128x^43+38x^44+26x^45+14x^46+4x^47+12x^48+2x^49+2x^50

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 1.68 seconds.