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  2  1  1  1  1  1  2  4  1  1
 0 12  0  4  0  8 12 12  0  8  4 12  0  0 12 12  0  8 12  4  8  4  0 12  8  8  0  4 12  4  8  0 12 12  8  0  0  4  4  0  8
 0  0 12  4  0  4  4  8  0  4  4  0  0 12  4  8  8  8  0  0  4 12  4 12 12  8  8 12 12  8  4 12 12  4  8  8  4 12  4  4 12
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  0  0  8  0  8  8  0  0  8  0  8  0  0  8  0  8  8  8  8  0  8  8  0  8
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+30x^37+37x^38+62x^39+222x^40+346x^41+215x^42+40x^43+31x^44+22x^45+3x^46+10x^47+1x^48+2x^49+1x^50+1x^76

The gray image is a code over GF(2) with n=328, k=10 and d=148.
This code was found by Heurico 1.16 in 0.445 seconds.