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

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

Homogenous weight enumerator: w(x)=1x^0+358x^70+48x^71+516x^72+292x^73+711x^74+352x^75+734x^76+280x^77+419x^78+48x^79+190x^80+4x^81+101x^82+21x^84+11x^86+9x^88+1x^124

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 86.4 seconds.