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  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  2  2  1  2  4  1  4  1  8  4  1  1  4  4  2  1  2  1  1  1  2  1  8  1  8  1  1  4  4  1  2  1  1
 0 12  0  0  0  0  0  0  0 12  4 12 12  4  8  8  8 12 12 12  4  8 12  4  4 12  0 12 12  4 12  0 12  8  4  8 12  0  0  0  8 12  8 12  4  8 12  4  0  0 12  4  0  0  4  8  4  8 12 12  0 12  4  4  4 12  4  8  0  4 12  0  0
 0  0 12  0  0  0  4 12  4  4  4  8  0  8  4  4  8 12 12  0  8  4  0  0 12  8  4  4 12  0  4 12  8  0 12  4  4 12  8  4  4  8  4  0  8  8  0 12  8  0  0  0  8  4  0  8  8  4  4  0  4  4  4  8 12  8  8 12  8 12  8  0  0
 0  0  0 12  0  4  4  4  8  4  0 12  4  8 12  0  8  4  8  4  0  0  4 12  0  8  0  4  0  8  4  4 12  4 12  0  0  8 12  4 12  4  8  0  4 12 12  4  4 12  4  4 12  8 12  4  8  8 12  4  8  0  8  0 12 12  0  4 12  0  0  4  0
 0  0  0  0 12  4  0  4  4  8  0  8 12  4  8  0  4  4  0  8  8 12  4  4 12 12  8  4 12  0  4  0  8  8  0  8 12  0 12 12 12  4  4  0  8  4 12  0  4  0  4  8 12 12  0  4  0  4  4  4  8  8  8  8  0 12  4  8  4 12 12  4  0
 0  0  0  0  0  8  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0  0  0  8  8  8  0  0  0  8  0  0  0  0  0  8  0  0  0  8  0  0  8  8  0  0  0  8  8  8  0  0  0  8  8  0  0  8  8  8  8  0  8  8  0  8  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  8  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  0  0  0  8  8  0  0  0  0  8  8  0  0  0  0  0  8  8  8  0  8  0  0  8  8  8  8  8  0

generates a code of length 73 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+53x^62+76x^63+113x^64+238x^65+204x^66+448x^67+390x^68+1034x^69+813x^70+2042x^71+1521x^72+2610x^73+1568x^74+2108x^75+791x^76+1012x^77+305x^78+332x^79+170x^80+162x^81+92x^82+100x^83+74x^84+50x^85+29x^86+14x^87+11x^88+14x^89+7x^90+1x^92+1x^106

The gray image is a code over GF(2) with n=584, k=14 and d=248.
This code was found by Heurico 1.16 in 8.85 seconds.