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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+116x^69+262x^70+480x^71+674x^72+1106x^73+1352x^74+1778x^75+1546x^76+2068x^77+1829x^78+1592x^79+1086x^80+860x^81+572x^82+408x^83+230x^84+176x^85+71x^86+80x^87+42x^88+26x^89+8x^90+14x^91+4x^92+1x^94+1x^96+1x^102

The gray image is a code over GF(2) with n=616, k=14 and d=276.
This code was found by Heurico 1.16 in 6.84 seconds.