The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  6  1  1  1 12 10  1  1  1  1  1  0  1  6  1  1 12  1  1  1  1  1  6  1  1  2  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  1  6 12 10  1  1  5 15  9  0  6  1  3  1  5 15  1 12 10  9  5  5  1  0  0  0  3  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  0  0  0  0  0  0  0  8  0  8  0  8  0  8  8  8  8  0  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  0  8  0  8  8  0  8  8  8  0  8  0  0  0  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  8  8  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  0  0  0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  8  0  8  8  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  0  8  8  8  0  8  0  0  8  8  0  0  8  0  0  8  0  8  0  8  0  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8  8  0  8  8  8  0  8  8  8  0  0  8  0  0  0  8  0  0  8  0  8  8
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  0  8  0  8  0  0  8  0  8  8  8  0  8  0  0  8  0  0  0  8  8  8  8
 0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  0  0  0  8  8  0  8  8  0  0  0  8  0  8  0  0  8  0  8  0  0  0  0

generates a code of length 43 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+52x^32+16x^33+72x^34+76x^35+206x^36+404x^37+766x^38+1848x^39+5323x^40+6232x^41+13027x^42+9488x^43+13054x^44+6240x^45+5346x^46+1800x^47+751x^48+408x^49+190x^50+100x^51+50x^52+12x^53+47x^54+17x^56+7x^58+2x^60+1x^70

The gray image is a code over GF(2) with n=344, k=16 and d=128.
This code was found by Heurico 1.16 in 25.9 seconds.