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

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

Homogenous weight enumerator: w(x)=1x^0+27x^74+90x^75+110x^76+172x^77+239x^78+160x^79+107x^80+84x^81+16x^82+6x^83+6x^84+5x^86+1x^130

The gray image is a code over GF(2) with n=624, k=10 and d=296.
This code was found by Heurico 1.16 in 0.327 seconds.