The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+374x^35+614x^36+1478x^37+1694x^38+2782x^39+2666x^40+2820x^41+1560x^42+1368x^43+542x^44+326x^45+70x^46+46x^47+17x^48+16x^49+4x^50+6x^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 48.4 seconds.