The generator matrix

 1  0  1  1  6  1  1  4  1  1  1  8 14  1  2  1  1  1  1  1  6  1  1  0  1  1 10  4  1  1  1  1  1 12 14  1  1  1 14  2  8  1  1  1  1
 0  1  1  6  1  3  5  1  4  2  7  1  1 12  1 13  8 15 14  7  1  6  5  1 12 13  1  1  5  2  7 15  3  0  1 14  9 10  1  0  1  9  1  1  7
 0  0  2  0  0  0  8  2  2  2 10  4  4  8 10  2 12 14 12  4 14  6  8 14  6  4 14 12 14 12  2  0  6  2  8  2 12  0 14 14  8  6  4  8  4
 0  0  0  8  0  0  8  8  0  0  0  0  8  8  0  8  0  8  0  8  8  0  0  8  8  8  0  8  0  8  8  0  8  0  8  0  0  8  8  0  0  0  0  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  0  8  8  8  0  0  0  0  8  8  8  0  8  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8
 0  0  0  0  0  8  8  0  8  0  8  8  8  0  0  8  0  0  8  0  8  0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  8  8  0  0  0  8  8  8

generates a code of length 45 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+50x^39+364x^40+700x^41+1388x^42+1704x^43+2816x^44+2566x^45+2695x^46+1764x^47+1290x^48+482x^49+316x^50+120x^51+71x^52+26x^53+12x^54+10x^55+1x^56+2x^57+4x^58+1x^60+1x^62

The gray image is a code over GF(2) with n=360, k=14 and d=156.
This code was found by Heurico 1.16 in 2.09 seconds.