The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^70+620x^71+750x^72+672x^73+526x^74+340x^75+296x^76+248x^77+167x^78+112x^79+67x^80+96x^81+40x^82+24x^83+6x^84+2x^86+1x^94

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 0.351 seconds.