The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+44x^26+20x^27+82x^28+104x^29+71x^30+364x^31+1087x^32+560x^33+1092x^34+364x^35+72x^36+104x^37+55x^38+20x^39+32x^40+16x^42+6x^44+1x^46+1x^54

The gray image is a code over GF(2) with n=264, k=12 and d=104.
This code was found by Heurico 1.16 in 69.6 seconds.