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

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

Homogenous weight enumerator: w(x)=1x^0+56x^68+64x^70+170x^72+640x^73+316x^74+640x^75+55x^76+28x^78+13x^80+20x^82+24x^84+20x^86+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 0.606 seconds.