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

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

Homogenous weight enumerator: w(x)=1x^0+134x^68+76x^69+308x^70+216x^71+360x^72+736x^73+580x^74+756x^75+290x^76+204x^77+168x^78+32x^79+110x^80+8x^81+60x^82+20x^83+27x^84+4x^86+5x^88+1x^124

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 0.893 seconds.