The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+23x^38+106x^39+246x^40+612x^41+549x^42+1762x^43+1737x^44+4446x^45+3618x^46+6570x^47+3559x^48+4606x^49+1775x^50+1698x^51+542x^52+538x^53+155x^54+100x^55+48x^56+38x^57+19x^58+4x^59+9x^60+4x^62+2x^64+1x^66

The gray image is a code over GF(2) with n=376, k=15 and d=152.
This code was found by Heurico 1.16 in 12.4 seconds.