The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+42x^41+41x^42+26x^43+12x^44+2x^45+2x^47+1x^48+1x^54

The gray image is a code over GF(2) with n=336, k=7 and d=164.
This code was found by Heurico 1.16 in 0.0237 seconds.