The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^39+282x^40+528x^41+968x^42+1562x^43+2193x^44+3494x^45+4898x^46+5012x^47+4409x^48+3728x^49+2557x^50+1428x^51+746x^52+404x^53+260x^54+118x^55+44x^56+32x^57+18x^58+2x^59+5x^60+6x^61+2x^62+1x^66

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 13.7 seconds.