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

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

Homogenous weight enumerator: w(x)=1x^0+210x^68+284x^70+128x^71+307x^72+768x^73+542x^74+1152x^75+256x^76+226x^78+153x^80+18x^82+30x^84+18x^86+2x^88+1x^136

The gray image is a code over GF(2) with n=592, k=12 and d=272.
This code was found by Heurico 1.16 in 7.52 seconds.