The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  8  1  1 14  1  1  2  1  1  1  0  1  1  1  4  8  1 14  1  2  1  1  1 12  1  6  1  1  1  2  1  1 14 14  0  1  1  2  1  1  1  1  1  1  2  1 12 14 12  1  1  1  1  1 14  1  1  1  1
 0  1 11  6 13  1  8  7  1  1  1 10  3  1 12  5  1 14 15  1  0  2 13  1  4 14  9  1  1  3  1  5  1  3  8  2  1  1  1 12  7 14  1  9  3  1  1  1  1 14  1  6  1 15  8 10 13  8  3  2  1  1 15  6 14 15  3  1  0  6  9  5
 0  0 12  0  4  0  4  4  8  4  0  0  8  4  8  8  4  4  0  4  8  4  4  8 12  4  0 12  4  0 12  0  4  0  4 12  4 12  0  0 12 12  8  0  4 12  8  4 12  0  8  8  0  8  0 12 12  8  0  4  4  8  8  8  0  4 12  4  8  8  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  0  8  8  0  0  0  8  8  0  8  0  8  0  8  0  8  8  0  8  0  8  8  0  8  8  8  8  0  0  0  8  8  0  8  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  8  8  0  8  0  8  8  0  0  0  8  0  8  0  8  8  8  8  0  0  0  8  8  0  0  0  8  8  0  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  8  0  0
 0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  8  0  8  0  0  0  8  8  8  0  0  8  8  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  8  0  8  0

generates a code of length 72 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+167x^66+244x^67+533x^68+724x^69+1051x^70+808x^71+1194x^72+856x^73+1019x^74+724x^75+457x^76+212x^77+117x^78+16x^79+44x^80+8x^82+4x^86+3x^88+2x^90+6x^92+2x^96

The gray image is a code over GF(2) with n=576, k=13 and d=264.
This code was found by Heurico 1.16 in 1.34 seconds.