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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+132x^69+142x^70+242x^71+220x^72+490x^73+549x^74+646x^75+524x^76+444x^77+233x^78+202x^79+93x^80+104x^81+15x^82+26x^83+6x^84+8x^85+5x^86+4x^87+2x^88+6x^89+1x^92+1x^124

The gray image is a code over GF(2) with n=600, k=12 and d=276.
This code was found by Heurico 1.16 in 25.2 seconds.