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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+70x^71+277x^72+466x^73+768x^74+938x^75+1507x^76+1432x^77+2236x^78+1584x^79+2021x^80+1352x^81+1391x^82+716x^83+602x^84+358x^85+234x^86+154x^87+126x^88+82x^89+41x^90+10x^91+9x^92+6x^93+1x^96+1x^98+1x^114

The gray image is a code over GF(2) with n=632, k=14 and d=284.
This code was found by Heurico 1.16 in 6.4 seconds.