The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+31x^38+106x^39+351x^40+828x^41+1041x^42+2774x^43+3416x^44+5430x^45+4760x^46+5652x^47+3326x^48+2818x^49+1005x^50+656x^51+307x^52+138x^53+66x^54+26x^55+22x^56+2x^57+6x^58+2x^59+1x^60+3x^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 8.07 seconds.