The generator matrix

 1  0  1  1  1  6  1  1  0  1 14  1  1  1 14  1  1  6  1  0  1  8  1  1  1  8  1  1  1  4  1  6  1  8  1  2 10  1 14  1  4 12  1  1  1  4  1
 0  1 11  6  1  1  8  5  1 10  1  3  5  8  1  6 11  1 13  1  8  1 11  6  1  1 13 14  0  1  9  1 12  1  2  6  1  8  1  9 12  2  4 15  8  1  0
 0  0 12  0  0  0  0  0  0  0  0  4  4  4  4 12  4  4  8 12 12  4  8  4  8  0 12  4  8 12  8 12  0  0  0  4  8 12  8  4 12 12  0  8 12  8  0
 0  0  0 12  0  0  0  0  4 12 12  8  4  8  0 12 12  8  4 12  4 12 12  8 12  4  4  8 12  0 12  8  8  8 12  0 12  0  0 12  4  4  4  4  0  0  8
 0  0  0  0  4  0  8  4  0  8  0  8  8 12  4 12  0  4  4  4  4 12  4  4  4  4 12  8 12  8  8  8  4 12  4  4 12  8  4  4  0  0  4  0  0  8  0
 0  0  0  0  0 12 12  4 12  4  8  4  0 12 12 12  4  0 12  4  8  0 12  0  8 12  0  8  8  8  4  4 12  0  4  0  0  8  8  4  8 12  0 12  8  4  0

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

Homogenous weight enumerator: w(x)=1x^0+72x^38+166x^39+306x^40+640x^41+1281x^42+2540x^43+4684x^44+7488x^45+10071x^46+11120x^47+9979x^48+7510x^49+4800x^50+2544x^51+1190x^52+570x^53+256x^54+130x^55+90x^56+42x^57+31x^58+12x^59+6x^60+6x^61+1x^62

The gray image is a code over GF(2) with n=376, k=16 and d=152.
This code was found by Heurico 1.16 in 35.1 seconds.