The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+117x^42+542x^43+1508x^44+3008x^45+4825x^46+7898x^47+9689x^48+10400x^49+9753x^50+8086x^51+4854x^52+2724x^53+1235x^54+510x^55+222x^56+88x^57+34x^58+20x^59+10x^60+4x^61+4x^62+4x^64

The gray image is a code over GF(2) with n=392, k=16 and d=168.
This code was found by Heurico 1.16 in 27.9 seconds.