The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+297x^68+208x^69+508x^70+704x^71+843x^72+1136x^73+788x^74+1152x^75+911x^76+688x^77+484x^78+192x^79+226x^80+16x^81+12x^82+18x^84+4x^92+1x^96+1x^100+1x^104+1x^108

The gray image is a code over GF(2) with n=592, k=13 and d=272.
This code was found by Heurico 1.16 in 5.55 seconds.