The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  4  2  2  2  1  1  2  2  0  1  1  0  1  1  1  1  4  0  1  1  8  1  1
 0  2  0  0  0  2  6 14  0  8  0  0  6 12 10  6 14 10  4 12  2  2  8  2 14 10  4  2  8 14  6  2 14  2  2  8  2  6 10  0  4  4 14  2 12  0
 0  0  2  0  2  2  2  0  4 14  8 14 10  2  8 14 12 12 12  0  2 10  8 12  2  0  6 10 10  2  4 14  6 12  4 10  6  4 12  4  2 10  6  4  4  0
 0  0  0  2  2  0  2 10  8  2 14  4  4  6  2 14  0 10  6  4 14  4  2  8  8 14 10  2  8 14  2 14 12  8  2  6 10  4  6  2  0  0  2  8  4  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  0  8  8  8  0  0  8  8  0  8  8  0  8  8  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  8  8  0  8  0  0  0  0  8  8  8  8  8  8  0  0  0  0  0  8  0  0  0  8  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+68x^38+316x^39+446x^40+942x^41+1397x^42+2018x^43+3727x^44+4590x^45+5660x^46+4796x^47+3729x^48+2072x^49+1346x^50+818x^51+399x^52+250x^53+96x^54+44x^55+16x^56+14x^57+9x^58+8x^59+1x^60+4x^61+1x^68

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 11.4 seconds.