The generator matrix

 1  0  0  1  1  1 10 14  1 12  1  1  2  1 14 14  1  1  8  1  1  1  1  1  8 12 14  8 10  1  1  6  1  8 14  4  2  1  1  8  1  1
 0  1  0  0 13  5  1  6  5  1 14  7  1  2  1  1 15 15 14  8  9  0 10  7  1  1 12  1 10 10  3 14  9  1  1  2  1  2  9  1 13  8
 0  0  1 11  3  0  7  1  5  5  9  6  6  6 12  9  4  5  1 10  6  7  0  1  2  3  1  2  1  9 15  1  2 10  8  1  7  6  8  3  4  0
 0  0  0 12  4  8 12 12  0  8  8  4  4 12  8  4  4  8  4  8  8  4 12 12  8  0  0 12  8  0  0  0  4  0 12  4  8  8 12  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+152x^37+662x^38+1588x^39+2086x^40+2488x^41+2669x^42+2530x^43+1971x^44+1234x^45+588x^46+272x^47+67x^48+44x^49+17x^50+10x^51+3x^52+2x^53

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 1.66 seconds.