The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+382x^44+256x^46+382x^48+2x^60+1x^64

The gray image is a code over GF(2) with n=368, k=10 and d=176.
This code was found by Heurico 1.16 in 0.063 seconds.