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

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

Homogenous weight enumerator: w(x)=1x^0+367x^74+20x^75+486x^76+384x^77+487x^78+728x^79+478x^80+384x^81+361x^82+20x^83+258x^84+93x^86+16x^88+4x^90+8x^92+1x^144

The gray image is a code over GF(2) with n=632, k=12 and d=296.
This code was found by Heurico 1.16 in 14.2 seconds.