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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+204x^74+349x^76+32x^77+635x^78+480x^79+780x^80+480x^81+607x^82+32x^83+246x^84+169x^86+58x^88+17x^90+5x^92+1x^144

The gray image is a code over GF(2) with n=640, k=12 and d=296.
This code was found by Heurico 1.16 in 16.5 seconds.