The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+39x^38+124x^39+235x^40+326x^41+663x^42+936x^43+1097x^44+1362x^45+1185x^46+946x^47+630x^48+264x^49+162x^50+92x^51+47x^52+26x^53+27x^54+14x^55+6x^56+6x^57+3x^58+1x^62

The gray image is a code over GF(2) with n=360, k=13 and d=152.
This code was found by Heurico 1.16 in 0.905 seconds.