The generator matrix

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

generates a code of length 44 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+40x^38+348x^39+723x^40+1536x^41+1732x^42+2420x^43+2741x^44+2720x^45+1776x^46+1276x^47+522x^48+312x^49+94x^50+84x^51+43x^52+8x^53+4x^54+2x^56+2x^58

The gray image is a code over GF(2) with n=352, k=14 and d=152.
This code was found by Heurico 1.16 in 1.94 seconds.