The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^73+18x^74+6x^75+1x^76+1x^78+2x^79+2x^80+1x^82

The gray image is a code over GF(2) with n=584, k=6 and d=292.
This code was found by Heurico 1.16 in 0.291 seconds.