The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+127x^68+288x^69+603x^70+696x^71+1002x^72+948x^73+973x^74+880x^75+990x^76+808x^77+481x^78+184x^79+126x^80+36x^81+13x^82+10x^84+8x^86+11x^88+2x^90+3x^92+2x^100

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 1.32 seconds.