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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+74x^66+250x^67+540x^68+738x^69+1020x^70+1312x^71+1682x^72+1704x^73+2049x^74+1848x^75+1517x^76+1142x^77+940x^78+586x^79+361x^80+232x^81+161x^82+86x^83+84x^84+20x^85+10x^86+10x^87+6x^88+4x^89+2x^90+4x^91+1x^100

The gray image is a code over GF(2) with n=592, k=14 and d=264.
This code was found by Heurico 1.16 in 5.84 seconds.