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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+107x^74+252x^75+429x^76+404x^77+874x^78+752x^79+980x^80+936x^81+993x^82+676x^83+733x^84+244x^85+230x^86+200x^87+162x^88+64x^89+43x^90+40x^91+26x^92+16x^93+24x^94+3x^96+1x^98+1x^104+1x^112

The gray image is a code over GF(2) with n=648, k=13 and d=296.
This code was found by Heurico 1.16 in 2.01 seconds.