The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+40x^36+110x^37+170x^38+344x^39+602x^40+928x^41+1282x^42+1394x^43+1210x^44+908x^45+551x^46+266x^47+183x^48+96x^49+38x^50+38x^51+6x^52+6x^53+6x^54+6x^55+6x^56+1x^62

The gray image is a code over GF(2) with n=344, k=13 and d=144.
This code was found by Heurico 1.16 in 0.851 seconds.