The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+50x^38+300x^39+413x^40+852x^41+1340x^42+1522x^43+2593x^44+2294x^45+2550x^46+1700x^47+1317x^48+726x^49+298x^50+206x^51+116x^52+60x^53+16x^54+12x^55+5x^56+2x^57+2x^58+4x^59+3x^60+2x^61

The gray image is a code over GF(2) with n=360, k=14 and d=152.
This code was found by Heurico 1.16 in 3.27 seconds.