The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+116x^39+260x^40+506x^41+987x^42+1480x^43+2227x^44+3392x^45+4829x^46+5290x^47+4642x^48+3594x^49+2208x^50+1504x^51+889x^52+342x^53+254x^54+112x^55+73x^56+36x^57+9x^58+8x^59+4x^60+2x^61+1x^62+2x^63

The gray image is a code over GF(2) with n=376, k=15 and d=156.
This code was found by Heurico 1.16 in 13.1 seconds.