The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  0  1  1  6 12  1  1  1  1 10  1  1  0  1  1  6 12  1  1 10  1  1  0  1  1  1  1  6  1  1  8  1  1 14  1  1 12  1  2  1  2  1  2  1  1  1  1  0 10  1  8  2  1  1  2  1 12  2  1  0  2
 0  1  3  6  5  1 12 15  1 10  1  9  3  0  1  6  5  1  1 12 15 10  9  1  0  3  1  6  5  1  1 10 15  1 12  9  1  0  3  6  5  1  8 11  1 14 13  1 12 15  1 10 12  4  0  0  8 12  6 10 14  2  1  9  1  6  1 12 10  7  2  1  8  4 12
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  8  0  8  8  0  8  0  0  0  8  8  0  0  8  8  8  8  8  8  0  0  0  0  0  0  0  8  8  8  0  8  8  8  0  8  8  8  8  8  0  0  8  0  8  8  8  0
 0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  8  0  8  8  8  0  8  8  0  8  0  0  0  0  0  0  0  8  0  8  0  8  0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  8
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  0  8  8  8  0  8  0  8  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  8  8  0  8  8  0  0  8  0  8  8  8  8  0  0  0  0  0  8  0  8  0  8  0  0  8  0  8  8  8  0  0  8  8
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  0  0  8  8  0  0  8  0  0  8  0  8  8  0  8  0  0  8  8  0  0  0  8  8  8  0  8  8  8  0  0  8  0  0  0  0  8  0  8  8  0  8  0  0  8  0  0  8  0  8  0  0  8  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+252x^70+208x^71+543x^72+368x^73+535x^74+384x^75+515x^76+384x^77+439x^78+176x^79+204x^80+16x^81+37x^82+15x^84+16x^86+2x^92+1x^118

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 87.3 seconds.