The generator matrix

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

generates a code of length 44 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+6x^42+80x^43+76x^44+80x^45+8x^46+3x^48+1x^50+1x^66

The gray image is a code over GF(2) with n=352, k=8 and d=168.
This code was found by Heurico 1.16 in 0.0456 seconds.