The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+45x^38+152x^39+360x^40+610x^41+1438x^42+1958x^43+4288x^44+4582x^45+6188x^46+4194x^47+4287x^48+2198x^49+1458x^50+442x^51+262x^52+138x^53+79x^54+38x^55+16x^56+24x^57+8x^58+2x^60

The gray image is a code over GF(2) with n=368, k=15 and d=152.
This code was found by Heurico 1.16 in 8.96 seconds.