The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+198x^39+1152x^40+3142x^41+5855x^42+10070x^43+14285x^44+19860x^45+21432x^46+20146x^47+14895x^48+10472x^49+5475x^50+2508x^51+1049x^52+374x^53+90x^54+36x^55+10x^56+6x^57+12x^58+2x^59+2x^61

The gray image is a code over GF(2) with n=368, k=17 and d=156.
This code was found by Heurico 1.16 in 98.8 seconds.