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

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

Homogenous weight enumerator: w(x)=1x^0+178x^68+144x^69+436x^70+424x^71+683x^72+752x^73+1122x^74+952x^75+1046x^76+740x^77+544x^78+440x^79+361x^80+120x^81+130x^82+8x^83+33x^84+4x^85+26x^86+29x^88+12x^90+3x^92+2x^94+1x^96+1x^104

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 2.35 seconds.