The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  0  2  2  2  1
 0  2  0  6  4 14 12  2  0  6 12 10  0 14  4  2 14  0  0  6 10  4 12  2  0  6 12 10  6  8 12 10  6  8  4 10  8 14 12  2  8  2  4  2  8 14 12 14 14  8  8 10  4  6  4  2  8 14  4 10  0  6 12 10  6  2 14  2  8 12  2  0
 0  0 12  0 12  4  0  4  8  8  8  8  4 12  4 12  4  0 12  0  0 12  0  4  8  8  8  8 12  4  4 12  4  8  8  4  4  8  4  8  0  0  0 12 12 12 12  0  8  8 12 12  4 12  0  8  0  0  8  0  4  4 12  4  0  4  4  0  4  8 12  0
 0  0  0  8  8  0  8  8  0  8  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  0  0  8  8  8  0  0  8  0  8  0  0  0  8  8  0  8  8  0  0  8  8  0  8  8  8  8  0  0  0  0  8  8  0  0  8  0  0  8  0  0  8  8  8  8  0  0

generates a code of length 72 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+16x^69+112x^70+244x^71+291x^72+232x^73+95x^74+20x^75+12x^76+1x^130

The gray image is a code over GF(2) with n=576, k=10 and d=276.
This code was found by Heurico 1.16 in 0.458 seconds.