The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  6  1  1  1 12  1 10  1  1  1  0  1  6  1  1 12  1  1 10  1  1  1  6  1  0 12  1  1 10  1  1  0  1  1  1  1 12  6  1 10  0  6  1  1 10  1 12  1 10  1  6  1  1  1 12  1  1  1  1  1  1  6  1  1  1  1 12 10  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  1  0  5  1  6  3 12  1 15  1 10  9  9  1 10  1  3  0  1  6 15  1 12  5  0  1  3  1  1  5 15  1  6 12  1 15  9 10  6  1  1  5  1  1  1  3  9  1  5  1 12  1  3  1  0 15 10  1  6  5  0  9  9  9  1  5 10  1  3  1  1  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  0  8  8  0  0  0  8  0  0  0  8  8  0  0  8  0  8  8  8  8  0  0  0  0  8  8  0  0  0  0  8  8  8  8  0  8  8  0  0  8  0  8  8  0  8  8  0  8  0  8  8  0  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  8  8  8  0  8  8  0  0  8  0  8  0  8  0  8  8  0  0  8  8  8  8  0  8  8  0  8  0  0  0  8  0  0  0  0  8  0  8  8  0  0  0  8  8  0  8  0  8  0  8  0  0  8  8  8  8  8  8  0  8  0  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  0  0  0  8  0  0  8  0  8  8  0  0  8  0  8  8  8  8  8  8  0  8  8  0  8  0  8  0  8  0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  0  0  8  8  8  8  0  8  8  0  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  0  8  0  8  0  8  0  8  0  0  0  0  8  8  0  0  0  8  0  8  8  0  0  8  8  0  8  0  8  0  8  8  0  8  8  8  0  8  0  8  0  0  0  8  0  8  8  0  8  8  8  8  0  8  8  0  0  8  8  0  0  0  0  8  0  0  8  0  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  0  8  8  8  0  0  0  0  8  8  8  0  0  0  8  8  0  8  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  8  0  8  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  0  0  0  8  8  0  8  8  0
 0  0  0  0  0  0  0  8  0  8  0  0  0  0  0  0  8  8  0  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0  8  8  8  0  8  8  0  0  8  8  8  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  8  0  0  8  0  0  8  8  0  8  8  8  0  0  8  8  8  0  0  8  8  0  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  0  0  8  8  0  0  0  8  0  8  0  8  8  8  8  8  0  0  0  8  8  0  8  0  0  8  8  8  0  8  0  8  0  8  0  8  8  0  8  0  0  8  8  8  8  8  0  8  0  0  0  8  0  8  8  8  8  8  8  8  0  8  0  0  0  0  0  8

generates a code of length 85 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+23x^74+40x^75+105x^76+212x^77+320x^78+752x^79+747x^80+2400x^81+1552x^82+4840x^83+2410x^84+6040x^85+2411x^86+4840x^87+1544x^88+2400x^89+710x^90+752x^91+272x^92+212x^93+73x^94+40x^95+18x^96+12x^98+10x^100+9x^102+7x^104+7x^106+3x^108+3x^110+2x^112+1x^120

The gray image is a code over GF(2) with n=680, k=15 and d=296.
This code was found by Heurico 1.16 in 20.3 seconds.