The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+208x^68+144x^69+768x^70+560x^71+1041x^72+832x^73+1150x^74+832x^75+1021x^76+560x^77+716x^78+144x^79+172x^80+14x^82+5x^84+8x^86+7x^88+6x^92+2x^96+1x^104

The gray image is a code over GF(2) with n=592, k=13 and d=272.
This code was found by Heurico 1.16 in 1.69 seconds.