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  2  1  0  1  1  2 12  2  0 12  1  2  2  1  2  0  0  2
 0  2 12  6  0  6 12 10  0 10 12  6  0  6 12 10  8 14 10  4 10  0  8  2 12 12  6  6 14  4  0 10  0  2  0 12  4  2  6 14 10  8 10  6 10  2  8  8 10  2  6  2  2  6 10  6 12 10  2  2  6
 0  0  8  0  0  0  0  0  0  0  8  0  0  8  0  8  0  8  8  8  8  8  8  0  0  0  0  8  0  8  0  0  8  8  8  0  0  8  0  8  8  8  8  8  8  8  0  8  0  0  0  8  0  0  8  0  0  0  8  8  0
 0  0  0  8  0  0  0  0  0  0  0  8  0  8  0  8  0  0  8  0  0  0  0  8  8  8  0  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  0  8  0  8  8  8  0  8  8  0  8  0  0  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  0  8  0  8  8  8  8  0  8  8  0  0  0  0  8  0  8  0  0  8  0  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  8  0  8  8  0  0  8  8  8  0  0  8  0
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  8  0  8  8  8  8  8  0  8  8  0  8  0  8  8  8  8  0  0  0  0  8  8  0  0  0  0  0  8  8  8  8  0  8  0  8  0  0  0  0  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  0  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  0  8  8  0  8  8  8  8  0  0  0  8  8  0  0  0  8  8  8  0  8  0  8  8  0

generates a code of length 61 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+76x^55+253x^56+88x^57+323x^58+500x^59+456x^60+720x^61+456x^62+500x^63+308x^64+88x^65+238x^66+76x^67+5x^72+7x^74+1x^96

The gray image is a code over GF(2) with n=488, k=12 and d=220.
This code was found by Heurico 1.16 in 32.7 seconds.