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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+80x^38+128x^39+241x^40+132x^41+324x^42+28x^43+33x^44+28x^45+20x^46+4x^47+4x^48+1x^76

The gray image is a code over GF(2) with n=328, k=10 and d=152.
This code was found by Heurico 1.16 in 0.0971 seconds.