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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+94x^67+264x^68+440x^69+838x^70+802x^71+1551x^72+1424x^73+2240x^74+1420x^75+2394x^76+1184x^77+1401x^78+738x^79+635x^80+332x^81+284x^82+122x^83+73x^84+58x^85+32x^86+16x^87+5x^88+16x^89+4x^90+8x^91+4x^92+2x^93+1x^94+1x^100

The gray image is a code over GF(2) with n=600, k=14 and d=268.
This code was found by Heurico 1.16 in 6.65 seconds.