The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  4  1  1  1  2  1  1  1  8  1  4  1  2  2  1
 0 12  0  4  0  0  4 12  8 12  0 12  0 12  4  8 12  4  4  8  0  4  8  8  4  8  4  4  8  0 12 12  0
 0  0 12  4  0 12  4  8  4  4  0  0  0  4  4  4  8 12 12  4  0  4  4  0  8  8  4 12  4  4  0  0  0
 0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  8  8  0  8  0  0  0  8  8  0  8  8  0  0  8  0  8  0
 0  0  0  0  8  0  0  8  8  8  8  0  0  8  0  8  8  0  0  8  8  8  0  8  0  8  8  0  8  0  0  0  8
 0  0  0  0  0  8  0  0  8  0  8  8  0  8  8  0  0  0  0  8  8  0  8  8  0  0  8  8  8  0  8  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  8  8  8  8  8  8  0  8  0  8  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+13x^26+48x^27+101x^28+84x^29+230x^30+334x^31+946x^32+612x^33+948x^34+342x^35+213x^36+60x^37+69x^38+42x^39+17x^40+12x^41+18x^42+2x^43+2x^44+1x^46+1x^50

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 0.199 seconds.