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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+92x^62+276x^64+12x^65+458x^66+72x^67+770x^68+268x^69+1326x^70+912x^71+2838x^72+2760x^73+4515x^74+4192x^75+4493x^76+2856x^77+2870x^78+880x^79+1341x^80+236x^81+690x^82+88x^83+401x^84+12x^85+228x^86+97x^88+44x^90+15x^92+10x^94+6x^96+4x^98+1x^100+2x^102+1x^104+1x^106

The gray image is a code over GF(2) with n=600, k=15 and d=248.
This code was found by Heurico 1.16 in 34.9 seconds.