The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^38+294x^39+599x^40+1014x^41+1635x^42+2306x^43+3298x^44+4588x^45+5082x^46+4532x^47+3511x^48+2462x^49+1598x^50+882x^51+430x^52+240x^53+122x^54+50x^55+29x^56+16x^57+3x^58+4x^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 11.7 seconds.