The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+17x^38+46x^39+94x^40+166x^41+99x^42+350x^43+308x^44+1124x^45+1019x^46+1790x^47+1093x^48+1118x^49+208x^50+310x^51+127x^52+130x^53+49x^54+60x^55+34x^56+20x^57+13x^58+4x^59+4x^60+2x^61+3x^62+2x^64+1x^68

The gray image is a code over GF(2) with n=376, k=13 and d=152.
This code was found by Heurico 1.16 in 1.18 seconds.