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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+60x^66+324x^67+619x^68+864x^69+1484x^70+1818x^71+2620x^72+3094x^73+3642x^74+3690x^75+3910x^76+3354x^77+2614x^78+1580x^79+1183x^80+692x^81+494x^82+304x^83+172x^84+116x^85+54x^86+26x^87+34x^88+6x^89+4x^90+2x^91+2x^92+2x^93+2x^96+1x^100

The gray image is a code over GF(2) with n=600, k=15 and d=264.
This code was found by Heurico 1.16 in 22.1 seconds.