The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+142x^37+51x^38+238x^39+333x^40+564x^41+347x^42+204x^43+16x^44+86x^45+17x^46+38x^47+1x^48+8x^49+1x^50+1x^72

The gray image is a code over GF(2) with n=328, k=11 and d=148.
This code was found by Heurico 1.16 in 87.8 seconds.