The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+56x^61+114x^62+328x^63+541x^64+1060x^65+1716x^66+2290x^67+3787x^68+4044x^69+5170x^70+3758x^71+3825x^72+2504x^73+1591x^74+968x^75+499x^76+240x^77+77x^78+56x^79+40x^80+20x^81+28x^82+22x^83+9x^84+12x^85+6x^86+2x^87+1x^88+1x^90+1x^92+1x^94

The gray image is a code over GF(2) with n=560, k=15 and d=244.
This code was found by Heurico 1.16 in 15.8 seconds.