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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+39x^58+126x^59+228x^60+294x^61+552x^62+820x^63+1107x^64+1764x^65+2210x^66+2248x^67+2211x^68+1790x^69+1086x^70+742x^71+460x^72+240x^73+173x^74+104x^75+68x^76+26x^77+30x^78+22x^79+20x^80+12x^81+5x^82+2x^83+1x^84+2x^85+1x^98

The gray image is a code over GF(2) with n=536, k=14 and d=232.
This code was found by Heurico 1.16 in 6.3 seconds.