The generator matrix

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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+136x^69+681x^70+1146x^71+1692x^72+1964x^73+2219x^74+1860x^75+1840x^76+1402x^77+1246x^78+810x^79+643x^80+358x^81+171x^82+100x^83+73x^84+26x^85+3x^86+4x^87+6x^88+2x^89+1x^92

The gray image is a code over GF(2) with n=600, k=14 and d=276.
This code was found by Heurico 1.16 in 3.11 seconds.