The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+38x^34+68x^35+178x^36+304x^37+471x^38+772x^39+1634x^40+1322x^41+1621x^42+758x^43+457x^44+286x^45+160x^46+58x^47+21x^48+6x^49+11x^50+6x^51+12x^52+2x^53+1x^54+2x^55+1x^58+1x^60+1x^66

The gray image is a code over GF(2) with n=328, k=13 and d=136.
This code was found by Heurico 1.16 in 0.856 seconds.