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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+138x^70+224x^71+317x^72+240x^73+348x^74+256x^75+207x^76+48x^77+90x^78+128x^79+50x^80+1x^132

The gray image is a code over GF(2) with n=592, k=11 and d=280.
This code was found by Heurico 1.16 in 0.479 seconds.