The generator matrix

 1  0  0  1  1  1 10  1 10  1  1  1  6 14  0  1  1  4  0  1  1  1  1  2 12  2 12  8  1  1  1  1  2  1  1  0  1  1  6  1  2  1  1
 0  1  0  4  5  1  1  0  8 12  5  9  6  1  1  3  6  1  1 11 14  2  7  1  1  1  0  4 15  3  0 10 12 13  3 10 13 10  1  2  1  5  1
 0  0  1  7  3  4  3  6  1  9  5 10  1  4  3  3  3  2  5  2  7  4  1 10  5  9  1  1  0  5  0 14  1 15  8  1  8 13  6  6  0  8  1
 0  0  0  8  0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  0  8  8  8  8  8  8  8  0  8  8  0  0  0  8  8  8  0  0  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  8  0  0  8  8  8  8  8  8  0  0  8  0  0  8  0  8  8  0  8  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  0  8  8  8  8  0  0  8  0  0  0  0  8  0  0  8  0  8  0  8  8  8  0  0  8  8  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+100x^37+627x^38+1288x^39+2753x^40+3624x^41+5339x^42+5380x^43+5386x^44+3750x^45+2663x^46+982x^47+558x^48+188x^49+69x^50+24x^51+5x^52+18x^53+6x^54+6x^55+1x^60

The gray image is a code over GF(2) with n=344, k=15 and d=148.
This code was found by Heurico 1.16 in 6.03 seconds.