The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+49x^36+254x^37+371x^38+460x^39+679x^40+578x^41+730x^42+384x^43+233x^44+162x^45+81x^46+68x^47+28x^48+14x^49+1x^50+2x^52+1x^58

The gray image is a code over GF(2) with n=328, k=12 and d=144.
This code was found by Heurico 1.16 in 0.209 seconds.