The generator matrix

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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+280x^70+160x^71+146x^72+160x^73+264x^74+11x^76+1x^96+1x^108

The gray image is a code over GF(2) with n=576, k=10 and d=280.
This code was found by Heurico 1.16 in 0.279 seconds.