The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+56x^33+143x^34+262x^35+400x^36+590x^37+1418x^38+1682x^39+4780x^40+3582x^41+7049x^42+3486x^43+4697x^44+1730x^45+1504x^46+638x^47+321x^48+178x^49+117x^50+68x^51+38x^52+8x^53+6x^54+8x^55+2x^56+3x^58+1x^60

The gray image is a code over GF(2) with n=336, k=15 and d=132.
This code was found by Heurico 1.16 in 19.8 seconds.