The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^66+530x^67+1389x^68+1574x^69+1977x^70+1914x^71+2164x^72+1764x^73+1655x^74+1220x^75+1021x^76+494x^77+268x^78+138x^79+95x^80+40x^81+25x^82+6x^83+9x^86+2x^88

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 2.92 seconds.