The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+28x^36+24x^37+98x^38+162x^39+317x^40+488x^41+1057x^42+1076x^43+2973x^44+2644x^45+5770x^46+3540x^47+5778x^48+2560x^49+2990x^50+1208x^51+1042x^52+368x^53+290x^54+154x^55+82x^56+56x^57+25x^58+4x^59+13x^60+4x^61+10x^62+5x^64+1x^72

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 13.4 seconds.