The generator matrix

 1  0  1  1  1 14  1  1  6  1  4  1  1  1  6  1  1  0  6  1  1  1  4  1  1  1  1  1  1 12 10  1  1  1  2  1  2  0  1  1  2  1 12  1 12  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  8  1  0  2 14  1 12  1  0  8  1  1  1
 0  1 11  6  5  1 11  0  1 14  1  9  3  6  1  7  4  1  1 15  4  6  1  7 15 13  1 13  8  1  1 13 10 11  1  4  1  1  0  9  1  9  1 13  1 15 15  9  2  0 12 10 10  8  0  6 10  2 10  1  1  1  2  1  1  1  1 14  1  2  1  1  0  9 11
 0  0 12  0  0  0  0 12  4  4 12  8  4  8  8 12  4  4 12 12  8 12  8  8  4  0  8  4 12  8  4  4  4  8  8  8  4  0  0 12  8 12 12  0  4  4  0  0  0 12  0  0  4  8  4 12  8 12  0  4  4  4 12 12  8  0  4  4 12  4  8 12  4  0  0
 0  0  0 12  8  4  4 12  4  8  0  0  4  8  8  8  0  4  8  4 12 12  4  4 12  4 12  0  8  0 12  4 12  8 12  0  0  4  4 12  0  0  4 12  8  8  0  0  8  4  8 12  8  4  4  4 12  8  0  0 12  4  0  4 12  0 12  4  8  0  8  4  0 12 12

generates a code of length 75 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+85x^70+364x^71+448x^72+600x^73+385x^74+394x^75+372x^76+606x^77+392x^78+312x^79+88x^80+22x^81+8x^82+2x^83+6x^84+2x^85+2x^88+2x^89+2x^92+1x^96+1x^98+1x^102

The gray image is a code over GF(2) with n=600, k=12 and d=280.
This code was found by Heurico 1.16 in 0.561 seconds.