The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^38+4x^39+266x^40+80x^41+579x^42+376x^43+1476x^44+1440x^45+2802x^46+2320x^47+2794x^48+1488x^49+1432x^50+360x^51+503x^52+64x^53+231x^54+12x^55+72x^56+29x^58+4x^60+6x^62+3x^64+1x^68

The gray image is a code over GF(2) with n=376, k=14 and d=152.
This code was found by Heurico 1.16 in 3.78 seconds.