The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^35+435x^36+602x^37+584x^38+808x^39+616x^40+488x^41+234x^42+90x^43+99x^44+22x^45+14x^46+12x^47+1x^56

The gray image is a code over GF(2) with n=312, k=12 and d=140.
This code was found by Heurico 1.16 in 0.139 seconds.