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  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  1
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  8  0  8  8  8  0  8  8  0  0  8  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  0  0  0  0  8  8  0  8  0  8  0  8  0  8  8  0  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  8  8  0  8  8  8  0  8  0  8  0  8  8  0  8  8  8  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8  8  0  8  8  8  0  0  0  0  0  8  8  0  0  8  8  8  8  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  0  0  8  8  0  0  0  0  8  8  0  8  0  0  0  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  8  0  0  8  8  8  8  8  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  0  0  8  0  8  8  0  0  8  8  8  0  0  8  8  0  8  0  0  8  0  0  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  0  8  0  0  8  8  0  0  0
 0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  8  8  0  8  0  8  0  8  0  8  8  8  8  0  8  8  8  8  0  0  8  8  8

generates a code of length 41 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+39x^30+93x^32+85x^34+40x^35+82x^36+120x^37+115x^38+200x^39+122x^40+6424x^41+104x^42+248x^43+76x^44+104x^45+85x^46+24x^47+94x^48+8x^49+66x^50+34x^52+17x^54+10x^56+1x^66

The gray image is a code over GF(2) with n=328, k=13 and d=120.
This code was found by Heurico 1.16 in 1.09 seconds.