The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+137x^38+44x^39+496x^40+352x^41+1194x^42+1380x^43+2576x^44+3224x^45+4819x^46+4328x^47+4862x^48+3256x^49+2612x^50+1368x^51+1108x^52+328x^53+399x^54+44x^55+160x^56+8x^57+50x^58+4x^59+12x^60+5x^62+1x^64

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 14.4 seconds.