The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  4  8  2  1  4  2  4  1  1  2  2  1  4  4  1
 0 12  0  4  0  0  4 12  0  8  4  0  4  8  4  4  0  8  0  4 12  0 12  0  4 12  4  4  0  8  4  8  8  0  0  0 12  0 12 12  4
 0  0 12  4  0 12  4  0  0  4  0  8 12 12  8  4  8  4  4  4  0  8  0 12  4  4  4 12 12  8  4 12  4  8  0 12  0  0  0  8  4
 0  0  0  8  0  0  0  0  0  8  8  8  8  0  0  0  0  0  8  8  0  8  0  8  0  0  8  0  8  0  0  8  0  0  8  8  8  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  8  0  8  8  8  0  0  8  8  8  0  0  8  8  8  0  8
 0  0  0  0  0  8  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  0  8  8  8  0  0  8  8  0  0  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  0  8  0  8  8  8  8  8  0  0  0  8  8  0  0  8  8  8  0  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  0  0  8  8  8  0  8  8  8  0  0  8  0  8  0  0  8  0  0  8  0  0
 0  0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  0  0  8  8  8  0  8  0  8  8  0  8  0  8  0  0  0  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+113x^32+284x^34+16x^35+638x^36+416x^37+1072x^38+1520x^39+3031x^40+2240x^41+2964x^42+1520x^43+1237x^44+416x^45+476x^46+16x^47+288x^48+64x^50+60x^52+4x^54+7x^56+1x^60

The gray image is a code over GF(2) with n=328, k=14 and d=128.
This code was found by Heurico 1.16 in 3.95 seconds.