The generator matrix

 1  0  1  1  1  4  1  1  6  1  1 10  8  1  1  2  1  1  1  2 12  1  2  1  1  6  1  1  1  6  1  1  1  8  1  0  2  1  2  2  4  1  1  4 14  1
 0  1  1  0 11  1 14 15  1  9 10  1  1  8  5  1 15 10  9  1  1 10  1 13 10  1 12  3  6  1 11 10  2  1  9  1 14  0  1 14 12  9 12  2  1  8
 0  0  2  6  0  2  8  2  4  0 14  2 12  0  2 10  0  2 12 12  2  6  8  2  8  4 14 12  0  6 10  2  0  8  4  6 10 10  6 14  2 14 12 10 14  0
 0  0  0 12  0  0  0  0  0  0 12  8  0  4 12 12  4  8 12 12  4  8  4  4 12 12  4  8  8  4  0  8  8  0  4  0  0  4  8 12  4  0 12  8  8  0
 0  0  0  0 12  8  4  4 12  8  4 12  8  8  0  4 12  4  0  4  0  0  8 12 12  8 12  4  0 12  0  0  4  4 12  8  8  0  0  8  8 12  0  8  4 12

generates a code of length 46 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+94x^39+233x^40+824x^41+1479x^42+2426x^43+3671x^44+4834x^45+5662x^46+4924x^47+3764x^48+2438x^49+1243x^50+684x^51+254x^52+128x^53+56x^54+14x^55+12x^56+14x^57+8x^58+2x^59+1x^60+2x^61

The gray image is a code over GF(2) with n=368, k=15 and d=156.
This code was found by Heurico 1.16 in 8.57 seconds.