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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+40x^60+42x^61+80x^62+130x^63+170x^64+284x^65+331x^66+442x^67+452x^68+752x^69+728x^70+1610x^71+3441x^72+4866x^73+5908x^74+4978x^75+3481x^76+1658x^77+801x^78+774x^79+388x^80+464x^81+240x^82+206x^83+147x^84+108x^85+79x^86+46x^87+45x^88+18x^89+16x^90+6x^91+20x^92+7x^94+3x^96+1x^98+3x^100+1x^102+1x^108

The gray image is a code over GF(2) with n=592, k=15 and d=240.
This code was found by Heurico 1.16 in 33.5 seconds.