The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^38+360x^39+642x^40+1154x^41+1585x^42+3064x^43+4994x^44+7050x^45+8464x^46+10448x^47+9033x^48+7244x^49+4568x^50+3040x^51+1752x^52+1060x^53+469x^54+296x^55+148x^56+66x^57+23x^58+8x^59+6x^60+2x^61

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 45.2 seconds.