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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+43x^36+142x^38+128x^39+436x^40+128x^41+94x^42+25x^44+18x^46+6x^48+2x^50+1x^72

The gray image is a code over GF(2) with n=320, k=10 and d=144.
This code was found by Heurico 1.16 in 0.0498 seconds.