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

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

Homogenous weight enumerator: w(x)=1x^0+52x^67+94x^68+160x^69+221x^70+270x^71+359x^72+600x^73+894x^74+984x^75+1123x^76+1050x^77+724x^78+540x^79+376x^80+224x^81+153x^82+108x^83+71x^84+52x^85+49x^86+22x^87+18x^88+24x^89+5x^90+8x^91+4x^92+2x^93+1x^94+2x^96+1x^118

The gray image is a code over GF(2) with n=608, k=13 and d=268.
This code was found by Heurico 1.16 in 19.7 seconds.