The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  2 12  2  1  0  1  1  1  1  1  2 12  1  1  1  1  1  2  1  1  2  0  1  2  1  0  4  2
 0  2 12  6  0  6 12 10  0  6 12 10  4  6 10  6  2  0 12 10  2  6  0  2  6 14 10 12 12 10  2  0 10  0  0  6  6  6 10 10  2  2  8  8  2 12 12
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  8  0  8  8  0  8  0  0  8  0  0  0  8  8  8  8  0  8
 0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  0  0  8  8  8  8  8  0  0  8  0  0  8  0  0  8  8  0  8  8  8  8  0  0  0  0  0  8  0  8  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  0  0  0  8  8  0  0  8  8  0  8  8  8  8  0  0  8  0  8  8  8  8  8  0  8  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  8  0  8  0  0  8  0  8  0  0  8  8  0  8  8  0  0  8  8  8  8  8  0  0  8  0  0  8  0  8  0  8  0  8  8  8  8  8
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  0  0  8  0  8  8  8  8  8  0  0  8  8  8  0  8  0  8  8  0  8  8  0  0  8  0  0  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  0  0  8  0  8  0  0  0  0  0  8  8  8  0  8  8  0  8  0  8  0  0  0  8  8  8  8  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  8  0  0  8  0  0  0  8  8  0  8  8  8  8  0  0  0  8  0  0  8  0  0  8  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+68x^38+12x^39+224x^40+72x^41+501x^42+632x^43+932x^44+2504x^45+1352x^46+3824x^47+1396x^48+2456x^49+939x^50+648x^51+428x^52+88x^53+176x^54+4x^55+84x^56+31x^58+4x^62+7x^64+1x^66

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 96.7 seconds.