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  2  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  2  1  1  2  1  1  1  4  1  1  0  4  1  1  1  2  4  1  1  1  0  1  1  0  4  4
 0 12  0  0  0  4 12  4  8 12  8 12  0  4  8 12  0 12  4  8  0 12 12  0  0 12 12  4 12  4  0  0  8  8 12  4  8  0  4  0  8  4  0  0  4  8  4  4  4  8 12  4 12  8 12  0  0  8  0  4  8  8  4  4  4  8  8  0  4
 0  0 12  0  4  4  4  8  0  4  8  4  4  0 12  0  0 12 12 12  0  8  0  4  8  0 12  4  8  4  4  4  0  0 12  8  8 12 12  8  4 12 12  4  8  0 12  4  8  4  4 12 12  4  8  8 12  0  8  4  4  0 12  0  8  8  8 12  8
 0  0  0 12  4  0  4  4  8  0 12  4  4  4  8  0  8  8 12  0 12  4  8 12  4 12 12  4  0  0  4  0  8 12  0  8 12  4  4 12 12 12  8  4  0  4  8 12 12  0  4  8 12  0  0  4  0 12 12 12  8  4  8  0  0 12  4  0 12
 0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  8  8  0  0  0  0  8  0  8  0  8  0  8  8  8  8  0  0  0  0  0  8  0  0  8  0  0  8  8  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  8  0  8  8  8  8  8  8  0  8  0  8  0  0  8  8  8  0  8  0  8  0  8  0  8  0  8  0  8  8  8  0  0  8  0  0  0  0  0  0  8  8  0

generates a code of length 69 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+105x^62+4x^63+251x^64+120x^65+359x^66+372x^67+639x^68+544x^69+558x^70+380x^71+343x^72+104x^73+138x^74+12x^75+90x^76+39x^78+15x^80+11x^82+3x^84+6x^86+1x^88+1x^112

The gray image is a code over GF(2) with n=552, k=12 and d=248.
This code was found by Heurico 1.16 in 0.731 seconds.