The generator matrix

 1  0  0  1  1  1 10  2  1  1  1  1 10  4  6  1  1  4  1 10 12  1  1 14  1  1  1  0  1  1  1  1  0  1  1  8 14  2  8  1
 0  1  0  4  5  1  1  2  5  9  4  8  0  1  1  3  6  1 11  1  1  2  7 10  2  0 12  1 11  9  5 11  1 10 10  4  1  1  1  4
 0  0  1  7  3  4  3  1  5 10  1 14  1  2  5  5  0  7 12  0  8  1  7  1 10 13  8 15 10  9  2  5  5 15 13  1  9  1  2  2
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  0  0  0  8  8  0  0  8  0  8  8  8  8  8  8  8  8  0  0  0
 0  0  0  0  8  0  8  8  0  8  0  0  0  8  0  0  8  0  8  0  8  0  8  8  0  8  8  0  8  0  8  8  0  8  0  8  8  0  0  8

generates a code of length 40 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+126x^35+609x^36+1594x^37+2026x^38+2528x^39+2870x^40+2444x^41+1969x^42+1368x^43+509x^44+218x^45+56x^46+40x^47+11x^48+13x^50+2x^51

The gray image is a code over GF(2) with n=320, k=14 and d=140.
This code was found by Heurico 1.16 in 1.46 seconds.