The generator matrix

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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+271x^66+658x^67+1157x^68+1498x^69+1774x^70+1992x^71+1968x^72+2094x^73+1759x^74+1270x^75+879x^76+510x^77+234x^78+124x^79+76x^80+34x^81+40x^82+4x^83+28x^84+8x^85+3x^88+1x^90+1x^98

The gray image is a code over GF(2) with n=576, k=14 and d=264.
This code was found by Heurico 1.16 in 5.68 seconds.