The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+143x^30+56x^31+496x^32+736x^33+2181x^34+3720x^35+5906x^36+6336x^37+5913x^38+3720x^39+2161x^40+736x^41+421x^42+56x^43+127x^44+44x^46+10x^48+2x^50+3x^52

The gray image is a code over GF(2) with n=296, k=15 and d=120.
This code was found by Heurico 1.16 in 6.79 seconds.