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

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

Homogenous weight enumerator: w(x)=1x^0+22x^70+32x^71+144x^72+96x^73+438x^74+96x^75+136x^76+32x^77+18x^78+6x^80+2x^82+1x^128

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 0.355 seconds.