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

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

Homogenous weight enumerator: w(x)=1x^0+150x^66+322x^67+544x^68+806x^69+1182x^70+1650x^71+2688x^72+3376x^73+3724x^74+4208x^75+3751x^76+3350x^77+2507x^78+1624x^79+1056x^80+642x^81+489x^82+262x^83+197x^84+76x^85+57x^86+54x^87+19x^88+6x^89+16x^90+8x^91+2x^94+1x^106

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 25.3 seconds.