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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+67x^60+59x^62+8x^63+183x^64+48x^65+204x^66+120x^67+348x^68+332x^69+455x^70+1018x^71+836x^72+3560x^73+1252x^74+7226x^75+1424x^76+7192x^77+1256x^78+3532x^79+819x^80+1024x^81+510x^82+332x^83+279x^84+124x^85+187x^86+50x^87+90x^88+8x^89+118x^90+2x^91+39x^92+43x^94+7x^96+11x^98+3x^100+1x^114

The gray image is a code over GF(2) with n=608, k=15 and d=240.
This code was found by Heurico 1.16 in 36.2 seconds.