The generator matrix

 1  0  0  1  1  1 10  2  1  1  1  1  6 12  1 12  2  6  1  1  1  2  1  1  1  1 14  1  1  1  1  6  1 14  4  1  1 14  4  4  0  1
 0  1  0  0  5  1  1  2  5  9  4  0  1  1 14  6  1  1 10 11 15  1  3 11  8  5 12  1  6  2 12  1  9  1  1  6 13 12  1  8  4  3
 0  0  1  3  3  4  3  1  5 10  1  6  6  5  9  1 13  0  8  9  6  1 11  6  2 14  1 13  3 12  0 12  8 11  3  4  2  1  3  1  1  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  8  8  0  8  8  8  0  8  8  8  0  0  8  8  8  8  0  0
 0  0  0  0  8  0  8  8  0  8  0  8  8  0  8  8  0  0  0  0  0  8  8  0  8  8  0  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8

generates a code of length 42 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+140x^37+777x^38+1484x^39+2033x^40+2406x^41+2759x^42+2616x^43+2068x^44+1124x^45+537x^46+252x^47+120x^48+38x^49+22x^50+2x^52+4x^53+1x^58

The gray image is a code over GF(2) with n=336, k=14 and d=148.
This code was found by Heurico 1.16 in 1.47 seconds.