The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+182x^72+676x^73+566x^74+706x^75+456x^76+418x^77+338x^78+242x^79+166x^80+138x^81+48x^82+108x^83+26x^84+16x^85+6x^86+1x^88+2x^90

The gray image is a code over GF(2) with n=608, k=12 and d=288.
This code was found by Heurico 1.16 in 0.359 seconds.