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

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

Homogenous weight enumerator: w(x)=1x^0+50x^38+162x^39+191x^40+240x^41+389x^42+466x^43+1251x^44+756x^45+4271x^46+868x^47+4232x^48+790x^49+1353x^50+436x^51+324x^52+206x^53+115x^54+106x^55+76x^56+50x^57+30x^58+10x^59+4x^60+6x^61+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 4.81 seconds.