The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^66+182x^67+289x^68+534x^69+1023x^70+1744x^71+2652x^72+3516x^73+4305x^74+4498x^75+4116x^76+3560x^77+2502x^78+1666x^79+1111x^80+470x^81+191x^82+108x^83+70x^84+64x^85+29x^86+22x^87+16x^88+14x^89+15x^90+4x^91+2x^93+2x^94+2x^98+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 17.4 seconds.