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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+64x^68+250x^69+330x^70+632x^71+508x^72+978x^73+960x^74+1098x^75+938x^76+910x^77+380x^78+380x^79+239x^80+216x^81+99x^82+74x^83+38x^84+44x^85+18x^86+24x^87+4x^88+2x^89+3x^90+1x^98+1x^106

The gray image is a code over GF(2) with n=600, k=13 and d=272.
This code was found by Heurico 1.16 in 1.72 seconds.