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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+140x^74+160x^75+319x^76+264x^77+224x^78+616x^79+88x^80+56x^81+60x^82+32x^83+47x^84+16x^85+16x^86+8x^87+1x^144

The gray image is a code over GF(2) with n=624, k=11 and d=296.
This code was found by Heurico 1.16 in 9.87 seconds.