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

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

Homogenous weight enumerator: w(x)=1x^0+29x^74+67x^76+64x^77+711x^78+64x^79+54x^80+27x^82+5x^84+1x^86+1x^152

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 0.522 seconds.