The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^38+168x^39+337x^40+542x^41+1219x^42+2360x^43+3809x^44+5140x^45+5622x^46+5138x^47+3742x^48+2372x^49+1217x^50+470x^51+273x^52+132x^53+62x^54+54x^55+28x^56+6x^57+16x^58+2x^59+2x^60+1x^62

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 8.9 seconds.