The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+207x^44+608x^46+207x^48+1x^92

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 3.95 seconds.