The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  0  2  0  1  2  8  1  1  1 12  1  1  2  0  1  2  1  1
 0  2  0  6  0  6  8  2  4  6  4 10 14  0  2  6 14  2  8  2  6  2  0  6  2  6  0  2  2  2  0 12  4  6 10  0  8
 0  0 12  0  0  0 12  0 12  0  4  8  0  8  8  4  4  4  8  8  0  8  4 12  0 12 12 12  4  4  0  4  8  4  8  4  4
 0  0  0 12  0  0  0  4  8  4  8 12  8  4  8  8  8  8  4  4  4  0  4  0  0  4 12  4  4  0  0  4 12  4  0 12 12
 0  0  0  0 12  0  4  8  0  4  4 12 12 12 12 12  0  4  8  4 12  8  4 12 12  0  8 12  0  0  8 12  4  0  8  4 12
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  0  8  0  8  8  0  0  8  8  0  0  0  0  0  0  8  8  8  8  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+149x^30+64x^31+518x^32+360x^33+1201x^34+1828x^35+2676x^36+2724x^37+2923x^38+1704x^39+1133x^40+432x^41+423x^42+52x^43+135x^44+4x^45+36x^46+16x^48+4x^50+1x^52

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 2.95 seconds.