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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+54x^70+116x^72+64x^73+90x^74+384x^75+697x^76+320x^77+194x^78+60x^80+18x^82+11x^84+24x^86+10x^88+4x^90+1x^136

The gray image is a code over GF(2) with n=608, k=11 and d=280.
This code was found by Heurico 1.16 in 0.493 seconds.