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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+145x^70+200x^71+550x^72+500x^73+1134x^74+928x^75+2087x^76+1522x^77+2608x^78+1424x^79+2034x^80+970x^81+924x^82+358x^83+457x^84+140x^85+192x^86+48x^87+81x^88+32x^89+14x^90+16x^91+4x^92+2x^93+6x^94+2x^96+2x^97+2x^99+1x^118

The gray image is a code over GF(2) with n=624, k=14 and d=280.
This code was found by Heurico 1.16 in 6.8 seconds.