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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+42x^39+94x^40+122x^41+234x^42+234x^43+429x^44+806x^45+1305x^46+1730x^47+1316x^48+774x^49+437x^50+238x^51+161x^52+74x^53+57x^54+52x^55+41x^56+16x^57+12x^58+8x^59+6x^60+2x^62+1x^74

The gray image is a code over GF(2) with n=376, k=13 and d=156.
This code was found by Heurico 1.16 in 1.22 seconds.