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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+358x^70+32x^71+479x^72+360x^73+644x^74+488x^75+572x^76+376x^77+422x^78+24x^79+226x^80+64x^82+32x^84+16x^86+1x^88+1x^128

The gray image is a code over GF(2) with n=600, k=12 and d=280.
This code was found by Heurico 1.16 in 4.16 seconds.