The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  1  2  2  1  2  4  2  2  1  2  1  4  4  2  1
 0 12  0  0  0  0  0  0  0 12 12  4  4  4  8  0 12  4  4 12 12  8  8  8 12 12  4 12  4  0  0  8  4  0  4  8  8 12  4 12  0  8  8  4  8  8  0
 0  0 12  0  0  0  4 12  4  4 12  0  4  8  0  8 12  4  0 12  4  0  4 12  4  8  4  4  8  0  8  4  8  4 12  8  4  8  8  0 12  8  0  0  0  4  0
 0  0  0 12  0  4  4 12  0  8 12  4 12 12  8 12 12  0  8  4  8 12  8 12  8 12  8 12  4  0  8  4  8  8  4 12 12  8  8 12  8  4  8  8  4  4  0
 0  0  0  0 12  4  0 12  4 12  8 12 12  8 12 12  8  0  4 12 12  4  8 12  8  4  4  8  0  8 12  0  4 12  4  8  4  8 12 12  0 12  0 12  0  4  0
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  0  8  0  8  8  8  8  8  0  8  8  0  0  0  0  0  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  0  0  0  8  0  0  8  0  8  8  8  0  0  0  8  0  0  0  0  8  8  0  8  8  8  8  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  8  0  8  0  0  0  8  0  8  0  8  8  0  0  8  8  0  0  8  0  8  0  0  0  8  0  8  8  0

generates a code of length 47 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+61x^36+62x^37+183x^38+230x^39+373x^40+412x^41+576x^42+816x^43+1420x^44+3098x^45+5547x^46+7100x^47+5599x^48+3150x^49+1500x^50+886x^51+581x^52+376x^53+286x^54+164x^55+139x^56+62x^57+92x^58+18x^59+10x^60+8x^61+7x^62+2x^63+8x^64+1x^70

The gray image is a code over GF(2) with n=376, k=15 and d=144.
This code was found by Heurico 1.16 in 17.1 seconds.