The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+76x^26+215x^28+64x^29+420x^30+704x^31+1203x^32+704x^33+364x^34+64x^35+175x^36+60x^38+36x^40+8x^42+1x^44+1x^52

The gray image is a code over GF(2) with n=256, k=12 and d=104.
This code was found by Heurico 1.16 in 0.19 seconds.