The generator matrix

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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+386x^75+362x^76+220x^77+226x^78+344x^79+184x^80+172x^81+28x^82+68x^83+24x^84+16x^85+10x^91+4x^92+1x^96+2x^98

The gray image is a code over GF(2) with n=624, k=11 and d=300.
This code was found by Heurico 1.16 in 22.2 seconds.