The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+133x^38+164x^39+718x^40+676x^41+1719x^42+2456x^43+3335x^44+4860x^45+4581x^46+5016x^47+3525x^48+2364x^49+1520x^50+664x^51+606x^52+164x^53+157x^54+20x^55+68x^56+17x^58+3x^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 12.5 seconds.