The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+54x^40+104x^41+255x^42+356x^43+575x^44+922x^45+1217x^46+1404x^47+1130x^48+894x^49+560x^50+276x^51+203x^52+86x^53+67x^54+36x^55+19x^56+10x^57+12x^58+8x^59+2x^60+1x^66

The gray image is a code over GF(2) with n=376, k=13 and d=160.
This code was found by Heurico 1.16 in 0.945 seconds.