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  4  2  1  1  4  4  1  2  2  4  2  1  1
 0 12  0  0  0  0  0  0  0 12  4 12 12  8  8  0 12 12  4  8 12  4 12  4  8 12  0  8  4  4 12 12  0  8  4  0  8 12  0  4  0
 0  0 12  0  0  0  4 12  4  4  4  8  0  8 12  8  0  0  8  4  0  8 12 12  0  4  0  0  8 12  8  0 12  4  8 12  8  4  0  0  0
 0  0  0 12  0  4  4  4  8  4  0 12  4  8  8  0  4  8  8 12  4  8 12 12 12  8  4  4  0  0 12  4  4  0  4  8 12 12 12  0  0
 0  0  0  0 12  4  0  4  4  8  0  8 12  0  8 12  8  8  4 12 12 12  0 12  0  8 12  4  4  8 12  8  4  8 12  8  8  8  0 12  0
 0  0  0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  8  8  8  0  0  8  8  0  0  8  0  0  8  0  0  0  8  8  0  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  0  8  8  8  8  8  8  8  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+73x^32+94x^33+178x^34+222x^35+262x^36+344x^37+967x^38+1560x^39+2622x^40+3734x^41+2624x^42+1594x^43+954x^44+378x^45+268x^46+174x^47+160x^48+52x^49+53x^50+32x^51+24x^52+6x^53+5x^54+2x^55+1x^66

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 3.83 seconds.