The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+101x^36+496x^37+1481x^38+2396x^39+4036x^40+5046x^41+5935x^42+4796x^43+4122x^44+2372x^45+1267x^46+414x^47+183x^48+78x^49+17x^50+8x^51+5x^52+8x^53+4x^54+2x^55

The gray image is a code over GF(2) with n=336, k=15 and d=144.
This code was found by Heurico 1.16 in 5.92 seconds.