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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+118x^68+244x^69+493x^70+592x^71+861x^72+1328x^73+1724x^74+1988x^75+2063x^76+2036x^77+1611x^78+1136x^79+667x^80+552x^81+347x^82+228x^83+173x^84+64x^85+90x^86+24x^87+18x^88+21x^90+2x^92+2x^94+1x^112

The gray image is a code over GF(2) with n=608, k=14 and d=272.
This code was found by Heurico 1.16 in 6.77 seconds.