The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+50x^25+76x^26+122x^27+208x^28+372x^29+760x^30+976x^31+742x^32+366x^33+186x^34+106x^35+36x^36+40x^37+28x^38+12x^39+4x^40+4x^41+6x^42+1x^48

The gray image is a code over GF(2) with n=248, k=12 and d=100.
This code was found by Heurico 1.16 in 0.184 seconds.