The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+111x^32+16x^33+334x^34+204x^35+879x^36+744x^37+3160x^38+2360x^39+6763x^40+3592x^41+6848x^42+2352x^43+3162x^44+760x^45+836x^46+200x^47+286x^48+8x^49+82x^50+4x^51+55x^52+4x^54+7x^56

The gray image is a code over GF(2) with n=328, k=15 and d=128.
This code was found by Heurico 1.16 in 11.4 seconds.