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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+128x^65+298x^66+568x^67+869x^68+1400x^69+1898x^70+2122x^71+3636x^72+3206x^73+4663x^74+3410x^75+3598x^76+2136x^77+1845x^78+1064x^79+675x^80+518x^81+287x^82+220x^83+113x^84+30x^85+30x^86+38x^87+4x^88+4x^89+2x^91+2x^93+2x^94+1x^102

The gray image is a code over GF(2) with n=592, k=15 and d=260.
This code was found by Heurico 1.16 in 21.8 seconds.