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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+55x^68+84x^70+241x^72+1362x^74+192x^76+36x^78+28x^80+18x^82+24x^84+4x^86+2x^88+1x^140

The gray image is a code over GF(2) with n=592, k=11 and d=272.
This code was found by Heurico 1.16 in 0.454 seconds.