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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+98x^66+271x^68+16x^69+300x^70+160x^71+636x^72+672x^73+1294x^74+1376x^75+1364x^76+688x^77+586x^78+128x^79+199x^80+32x^81+152x^82+113x^84+50x^86+36x^88+16x^90+3x^92+1x^124

The gray image is a code over GF(2) with n=600, k=13 and d=264.
This code was found by Heurico 1.16 in 2.39 seconds.