The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^36+476x^37+972x^38+1540x^39+2323x^40+3528x^41+4640x^42+5332x^43+4821x^44+3496x^45+2384x^46+1580x^47+753x^48+360x^49+218x^50+60x^51+50x^52+12x^53+8x^54+7x^56+2x^58+1x^60

The gray image is a code over GF(2) with n=344, k=15 and d=144.
This code was found by Heurico 1.16 in 10.9 seconds.