The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+54x^37+279x^38+366x^39+729x^40+766x^41+1346x^42+1302x^43+1305x^44+676x^45+673x^46+322x^47+174x^48+64x^49+78x^50+26x^51+15x^52+6x^53+7x^54+2x^57+1x^62

The gray image is a code over GF(2) with n=344, k=13 and d=148.
This code was found by Heurico 1.16 in 0.81 seconds.