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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+68x^54+244x^56+124x^57+368x^58+340x^59+669x^60+568x^61+632x^62+424x^63+304x^64+76x^65+128x^66+4x^67+58x^68+44x^70+31x^72+8x^74+4x^76+1x^100

The gray image is a code over GF(2) with n=488, k=12 and d=216.
This code was found by Heurico 1.16 in 0.625 seconds.