The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+153x^38+20x^39+424x^40+108x^41+1032x^42+536x^43+2765x^44+2964x^45+5873x^46+5032x^47+5971x^48+2964x^49+2648x^50+536x^51+1042x^52+108x^53+355x^54+20x^55+155x^56+48x^58+9x^60+3x^62+1x^72

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.