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

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

Homogenous weight enumerator: w(x)=1x^0+134x^71+291x^72+544x^73+726x^74+984x^75+1445x^76+1186x^77+2296x^78+1460x^79+2041x^80+1450x^81+1470x^82+816x^83+583x^84+322x^85+214x^86+162x^87+106x^88+70x^89+25x^90+22x^91+8x^92+12x^93+2x^94+2x^95+5x^96+2x^98+2x^99+2x^103+1x^106

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 6.93 seconds.