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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+78x^67+172x^68+324x^69+317x^70+744x^71+608x^72+1816x^73+927x^74+2696x^75+1139x^76+2736x^77+942x^78+1832x^79+562x^80+628x^81+253x^82+236x^83+103x^84+104x^85+38x^86+38x^87+33x^88+20x^89+15x^90+6x^91+6x^92+4x^93+3x^94+2x^95+1x^106

The gray image is a code over GF(2) with n=608, k=14 and d=268.
This code was found by Heurico 1.16 in 7.77 seconds.