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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+70x^65+113x^66+132x^67+180x^68+150x^69+308x^70+446x^71+750x^72+1288x^73+1412x^74+1266x^75+815x^76+436x^77+238x^78+132x^79+127x^80+54x^81+91x^82+56x^83+36x^84+38x^85+13x^86+14x^87+10x^88+12x^89+2x^91+1x^92+1x^118

The gray image is a code over GF(2) with n=592, k=13 and d=260.
This code was found by Heurico 1.16 in 2.38 seconds.