The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+74x^35+115x^36+140x^37+212x^38+386x^39+727x^40+912x^41+708x^42+336x^43+174x^44+102x^45+52x^46+58x^47+34x^48+28x^49+20x^50+10x^51+2x^52+2x^53+2x^56+1x^60

The gray image is a code over GF(2) with n=328, k=12 and d=140.
This code was found by Heurico 1.16 in 71.2 seconds.