The generator matrix

 1  0  0  1  1  1  4 12  1  1  8  1  1 10  8  0  4  1  1  1  8  1  6  1  1  1  1 10  1  1  1  6  1  6  1  1  6 12  1  1  1  4  1  6  4  1  1  0 14  4  1  2  1  1  1  1 14  1  1  6  1  8  1 10  1  4  1  1  2 14  1  8 14 12  1
 0  1  0  0 13 11  1  1  7  1  1 14 10  8  1 10  1  4  5  9  1  6 10  0  5  4  3  1 15  1 10  1  4  1  3  2  4  1  1  6  8  1  7  1  1  9 15  0  2  1  0  1  4  8  1  1  1  7 15  6 14  1  5  1 12  6 11  8 12  1 11  1  1  1  0
 0  0  1  1 13  4  7  4  5  0  5  6 15  1  6  1  9  4  8 15 14  5  1  1  3  6  2 11  6  9 11 13 14  6  5 11  1 13  4  6 15  7 11  0 11 10 13  1  1  1 13  2 11  7  0  0 15  7  0  1 11  5  7  5  0  1 12 10  6 11 10  6 12  2  0
 0  0  0  2 10  0  8 10  4 14  6 10  0 14  0  8 12 14  4 12 14  6 14  4  2  4  6 10  0  4  6  0 10 12  2  8  0 10  6 12  6 14  8  2  4  0 14 10  4  4  8 14  6 12  2  4 12  8  6  0  4 10  0  2 12 14 14  8  2  4 14  4  6 10  0
 0  0  0  0  8  8  8  8  8  8  8  0  0  0  8  8  0  8  0  8  0  8  8  8  0  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  8  8  8  0  8  0  0  0  0  0  0  8  8  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+138x^67+671x^68+1594x^69+2588x^70+3746x^71+5284x^72+6776x^73+7961x^74+8196x^75+8161x^76+6856x^77+5349x^78+3542x^79+2181x^80+1158x^81+618x^82+402x^83+136x^84+58x^85+57x^86+36x^87+12x^88+6x^89+3x^90+4x^91+2x^92

The gray image is a code over GF(2) with n=600, k=16 and d=268.
This code was found by Heurico 1.16 in 46.4 seconds.