The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+153x^38+290x^39+594x^40+936x^41+2116x^42+2802x^43+5254x^44+6684x^45+9219x^46+9320x^47+9400x^48+6792x^49+5305x^50+2696x^51+2011x^52+864x^53+584x^54+230x^55+145x^56+80x^57+31x^58+22x^59+3x^60+4x^61

The gray image is a code over GF(2) with n=376, k=16 and d=152.
This code was found by Heurico 1.16 in 49 seconds.