The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  4  2  1  1  2  1  2  1  1  1  1  2  0  1  1  1  1 12  2  1  1  1  4  2  2  1  1  1  1  1  2  1  2  2  1  2  8  1  4  1 12  1  4  1  8  1
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4  6  4  6  4 14 12  2  6  0  0 12  6  8  2  6  0  2 12 12  6 14  4 10  4 12  2  6  8 14 10  8  6  2  0  4  2  6 10 12  0  8  6 14 14  8  6  2 14  2  2  4 12 14  2  8  4  0  2  0
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  8  4 10 10  4  4  8  6  6 10  2  4 14 12 14  8 14 10 12 12  6  6 12 14 14  4  2 14  4  8  2  0  6  4  4 10  8  4  8 10  2 10  8 14  6 10  8  4  6  0 10  2  4  4 12  2  2 12  8
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12  8  4  8  0 12 12  0  8  4  0  8  4  8  8  8 12  0 12 12  8  8 12 12  4 12 12  4  4  0  8  8  8  8  4  0 12  8  4  4  8  8 12  4 12  4  8  8  4  8  8 12 12  4  4 12  4  0  0
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  8  0  0  8  0  8  8  8  0  8  0  0  8  8  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0  0  8  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  0  0  8

generates a code of length 74 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+60x^67+200x^68+368x^69+561x^70+728x^71+864x^72+954x^73+1047x^74+964x^75+753x^76+608x^77+381x^78+250x^79+158x^80+94x^81+61x^82+44x^83+51x^84+20x^85+10x^86+2x^87+5x^88+4x^89+3x^90+1x^106

The gray image is a code over GF(2) with n=592, k=13 and d=268.
This code was found by Heurico 1.16 in 1.87 seconds.