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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+25x^70+16x^71+63x^72+240x^73+335x^74+240x^75+60x^76+16x^77+23x^78+3x^80+1x^82+1x^136

The gray image is a code over GF(2) with n=592, k=10 and d=280.
This code was found by Heurico 1.16 in 0.358 seconds.