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  1  1  1  1  1  1  2  2  2  2  2  2  2  1  2  1  2  2  1  2  2  2  1  1  4  1  1  1  2  1  1  1  1  1
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  8  8  0  8  0  0  0  8  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  0  8  8  8  8  8  8  0  8  8  0  8  0  0  8  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  0  8  0  0  8  8  8  0  0  8  0  0  0  0  8  0  0  8  8  0  8  0  0  0  8  0  8  0  8  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  0  8  8  8  0  8  0  0  8  8  0  0  0  8  8  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  8  0  0  8  8  8  0  0  0  8  0  0  8  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  8  0  8  8  8  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  8  0  0  0  8  0  0  0  0  0  8  8  8  0  8  0  8  0  8  0  8  8  0  0  8  0  0  0  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  8  8  0  0  0  8  0  8  0  0  0  8  0  8  0  8  8  8  8  0  0  8  0  8  0  0  0  0  0  0  8  8  0  8  8  0  8  8  0  8  8  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  0  8  0  0  8  0  0  8  8  8  0  0  0  0  8  0  0  8  0  8  8  8  0  8  0  0  8  0  0  0  0  8  8  8  0  0  0  8  0  0  8  0  8  8  8  8  8  8  8  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  0  8  0  8  8  8  8  0  0  0  8  8  8  8  8  0  0  0  0  8  8  8  8  0  8  0  0  0  0  8  8  8  8  0  0  8  8  0  0  0  8  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  8  0  0  8  0  0  0  0  8  8  8  0  0  8  8  0  8  8  8  8  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0  0  8  8  8  8  8  0  0  0  0  0  8  0  8  0  0  0  8  0  0  0
 0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  0  0  0  8  0  8  0  8  8  0  0  0  0  8  8  8  8  0  8  0  8  0  0  0  0  8  8  8  0  0  0  8  8  0
 0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  8  8  0  8  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  8  0  0  8  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  8  8  8  8  0  8  0  8  8  8  0  8  0  0  8  8  8  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+53x^62+148x^64+6x^65+106x^66+42x^67+156x^68+80x^69+127x^70+158x^71+160x^72+326x^73+151x^74+2468x^75+8346x^76+2448x^77+161x^78+316x^79+133x^80+178x^81+148x^82+82x^83+113x^84+32x^85+130x^86+6x^87+46x^88+2x^89+82x^90+37x^92+56x^94+8x^96+8x^98+1x^100+1x^102+1x^122

The gray image is a code over GF(2) with n=608, k=14 and d=240.
This code was found by Heurico 1.16 in 11 seconds.