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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+117x^68+8x^69+154x^70+128x^71+397x^72+496x^73+394x^74+128x^75+114x^76+8x^77+50x^78+18x^80+22x^82+7x^84+4x^86+1x^92+1x^132

The gray image is a code over GF(2) with n=584, k=11 and d=272.
This code was found by Heurico 1.16 in 2.9 seconds.