The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+58x^32+52x^33+280x^34+548x^35+1220x^36+2620x^37+4062x^38+8668x^39+8718x^40+13092x^41+8776x^42+8676x^43+4041x^44+2612x^45+1148x^46+532x^47+271x^48+56x^49+64x^50+8x^51+18x^52+6x^54+8x^56+1x^60

The gray image is a code over GF(2) with n=328, k=16 and d=128.
This code was found by Heurico 1.16 in 24.9 seconds.