The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+78x^33+206x^34+324x^35+788x^36+988x^37+2204x^38+3450x^39+5605x^40+5618x^41+5374x^42+3590x^43+2331x^44+930x^45+606x^46+294x^47+222x^48+64x^49+55x^50+22x^51+13x^52+2x^53+1x^54+1x^58+1x^62

The gray image is a code over GF(2) with n=328, k=15 and d=132.
This code was found by Heurico 1.16 in 10.5 seconds.