The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+31x^70+212x^71+211x^72+534x^73+283x^74+680x^75+277x^76+686x^77+269x^78+484x^79+123x^80+178x^81+52x^82+32x^83+26x^84+10x^85+2x^86+1x^88+1x^90+1x^92+1x^94+1x^118

The gray image is a code over GF(2) with n=608, k=12 and d=280.
This code was found by Heurico 1.16 in 0.481 seconds.