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  1  1  1  2  2  4  1  1  4  2  4  2  1  2  2  1  1  4  2  1  4  2
 0 12  0  0  0  4 12  4  0  8  4 12  0  8 12  0  4  8 12  0  4  4  0  4  8  0  8  0  0 12  4  8 12  4 12 12 12 12 12  0  4  4  8  4  8  8  0
 0  0 12  0  4  4 12  0  0  0  4  8  4  4  0  8  4  0  4 12  8  4  0 12 12  0  4  4  4  0  4 12  8  0  8  0 12 12 12  8  4  0  4 12  4  4  0
 0  0  0 12  4  0 12  4  0  4 12  8 12  0  4  8  8  4 12  8  0  0  0  0  4  4  4 12 12  8  0  8  0 12  8  8 12  4 12  4 12  4  0  0  8  8  8
 0  0  0  0  8  0  0  0  8  0  8  8  0  0  0  0  8  0  8  8  0  8  8  0  8  8  0  8  0  0  0  0  8  0  0  8  8  8  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  0  8  0  8  8  0  8  0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  8  8  8  8  0  8  0  8  8
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  0  8  0  8  8  8  8  0  0  0  8  0  0  0  8  8  8  8  8  8  8  0  0  8  0  0  0  8  8
 0  0  0  0  0  0  0  8  8  8  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  0  8  8  0  0  8  0  8  8  0  8  0  8  0  8  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+155x^38+317x^40+44x^41+600x^42+332x^43+1155x^44+1228x^45+2956x^46+2924x^47+2814x^48+1252x^49+1266x^50+324x^51+461x^52+36x^53+341x^54+4x^55+99x^56+54x^58+15x^60+4x^62+1x^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 4.89 seconds.