The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+448x^70+392x^71+637x^72+408x^73+536x^74+368x^75+526x^76+320x^77+310x^78+40x^79+41x^80+8x^81+36x^82+8x^84+14x^86+1x^92+1x^96+1x^100

The gray image is a code over GF(2) with n=592, k=12 and d=280.
This code was found by Heurico 1.16 in 1.04 seconds.