The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 14  2  1  1  1  1  8  1  1 10  1  4  1  1  1  8  1  1  1 14  1 12  1  0  1  1  0  1  0  8  2  1  1  6  1
 0  1 11  6 13  1 12  7  1 10  1  1  1  8  3  5 14  1 15  4  1  6  1  9  2  0  1 12 14  8  1  7  1 13  1 10  5  1  0  2  4  1  4 14  1  0
 0  0 12  0  4  0  0  4  8  8  4 12 12  4  8  8  4  4  0 12  8  0 12  0  4  0 12  0  4 12  4 12  0  4  8  0  8  8  8 12  4 12 12 12  0  0
 0  0  0  8  0  0  0  0  8  0  8  8  0  8  8  0  0  0  0  8  0  8  0  8  0  8  8  8  0  8  8  8  8  8  0  0  8  0  0  0  0  8  0  8  0  0
 0  0  0  0  8  0  0  8  0  0  0  0  0  8  0  0  8  0  8  0  8  8  0  8  8  0  8  8  0  8  8  0  8  8  8  8  8  0  8  8  0  0  0  0  8  8
 0  0  0  0  0  8  0  8  0  8  8  0  0  0  8  8  8  8  0  0  0  8  0  8  0  8  8  0  0  8  8  8  0  0  8  8  0  0  8  0  0  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  8  0  8  8  0  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  0  8  8  0  0  8  0  8  0  8  8  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+52x^39+129x^40+384x^41+558x^42+1232x^43+2160x^44+2170x^45+3120x^46+2220x^47+2023x^48+1218x^49+579x^50+316x^51+84x^52+62x^53+22x^54+16x^55+15x^56+6x^57+6x^58+4x^59+4x^60+2x^62+1x^66

The gray image is a code over GF(2) with n=368, k=14 and d=156.
This code was found by Heurico 1.16 in 2.36 seconds.