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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+50x^67+126x^68+210x^69+303x^70+464x^71+594x^72+840x^73+1034x^74+1056x^75+1020x^76+798x^77+592x^78+426x^79+297x^80+162x^81+118x^82+36x^83+2x^84+24x^85+1x^86+14x^87+2x^88+14x^89+2x^91+4x^92+1x^96+1x^112

The gray image is a code over GF(2) with n=600, k=13 and d=268.
This code was found by Heurico 1.16 in 2.13 seconds.