The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  2  1  1  2  8  1  2  2  2  2  1  4  1  1  2  1  4  4  2  8  2  1
 0  2  0  0  0  2  6 14  8  8 14  6 12 10  8  6 14 12  6 14  2 10  2  0 14  0 14  4  6  4 14 10  2  8 12  2 10 12  2  4  2 10  8
 0  0  2  0  2  2 10  0 12 14  8  2 12 12  2 14 10  2 14  0 14  6  4  6  2  2  6  2  8 12  6 12  8 12  8  0  6 12  4  8  8 12 12
 0  0  0  2  2  8 10  2  4  0 14 12  2  0  6  6  8  8  2  4 12  8 14  2 14 12 10 14 10 14  2  4 14 10  2  4  8  2  2 10  4  2 12
 0  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  0  8  8  8  8  0  0  0  8  8  0  0  8  0  0  8  8  8  0  0  8  0  8  0  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+258x^37+414x^38+1012x^39+1083x^40+1990x^41+2138x^42+2758x^43+2112x^44+1986x^45+1018x^46+912x^47+275x^48+236x^49+102x^50+54x^51+16x^52+8x^53+8x^54+1x^56+2x^57

The gray image is a code over GF(2) with n=344, k=14 and d=148.
This code was found by Heurico 1.16 in 37.7 seconds.