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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+30x^74+68x^75+258x^76+252x^77+286x^78+468x^79+107x^80+300x^81+50x^82+40x^83+154x^84+24x^85+8x^86+1x^90+1x^146

The gray image is a code over GF(2) with n=632, k=11 and d=296.
This code was found by Heurico 1.16 in 0.516 seconds.