The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^68+172x^69+234x^70+536x^71+235x^72+676x^73+382x^74+612x^75+246x^76+488x^77+166x^78+192x^79+59x^80+4x^81+18x^82+4x^83+8x^84+4x^85+1x^88+1x^92+1x^124

The gray image is a code over GF(2) with n=592, k=12 and d=272.
This code was found by Heurico 1.16 in 0.485 seconds.