The generator matrix

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

generates a code of length 39 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+234x^35+750x^36+1350x^37+1102x^38+1622x^39+1090x^40+1044x^41+484x^42+318x^43+134x^44+22x^45+14x^46+18x^47+9x^48

The gray image is a code over GF(2) with n=312, k=13 and d=140.
This code was found by Heurico 1.16 in 0.419 seconds.