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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+70x^68+68x^69+156x^70+216x^71+287x^72+316x^73+764x^74+208x^75+972x^76+572x^77+80x^78+88x^79+89x^80+68x^81+64x^82+38x^84+20x^86+14x^88+4x^90+1x^136

The gray image is a code over GF(2) with n=600, k=12 and d=272.
This code was found by Heurico 1.16 in 0.772 seconds.