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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+206x^42+32x^43+343x^44+208x^45+488x^46+256x^47+291x^48+16x^49+158x^50+36x^52+12x^54+1x^76

The gray image is a code over GF(2) with n=368, k=11 and d=168.
This code was found by Heurico 1.16 in 0.675 seconds.