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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+252x^62+565x^64+28x^65+826x^66+132x^67+1163x^68+752x^69+2466x^70+2748x^71+4982x^72+5024x^73+5128x^74+2620x^75+2429x^76+832x^77+1122x^78+132x^79+694x^80+20x^81+408x^82+291x^84+96x^86+46x^88+6x^90+4x^92+1x^108

The gray image is a code over GF(2) with n=584, k=15 and d=248.
This code was found by Heurico 1.16 in 35 seconds.