The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^62+10x^63+124x^64+78x^65+172x^66+190x^67+582x^68+598x^69+925x^70+1888x^71+2222x^72+3908x^73+3078x^74+5076x^75+3315x^76+3972x^77+2022x^78+1826x^79+1117x^80+590x^81+338x^82+206x^83+249x^84+70x^85+47x^86+20x^87+49x^88+26x^90+13x^92+13x^94+6x^96+2x^98+1x^100+1x^104+1x^110

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 27.3 seconds.