The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^39+119x^40+260x^41+195x^42+710x^43+838x^44+1266x^45+1357x^46+1332x^47+752x^48+722x^49+205x^50+200x^51+72x^52+54x^53+24x^54+12x^55+7x^56+2x^57+7x^58+2x^59+2x^60+3x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=368, k=13 and d=156.
This code was found by Heurico 1.16 in 0.996 seconds.