The generator matrix

 1  0  1  1  1  4  1 10  1  1  1  6 12  1  1  1  1  1  6  1  1  2  1  1  1  2  1  8 14  1 10 12  1
 0  1  1  0 11  1 10  1  5  7  6  1  1 11  8 14  3 14  1  1  8  4 15 11  0  4 11  1  1 10  1  1  0
 0  0  2  6  4  6  2  2  8  2  0  8  2  0  4  0 14  2  4 14  2  2  4  6  6  6  4  8 10  8 10  6  0
 0  0  0 12  0  4  4 12  8  0  8  8  4  4  8  4  8  8 12  4  8  0  4 12  0  4  0  4  8  0  4  0  8
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  0  8  0  8  8  8  8  0  0  8  8  0  0  0  0  8  0  8
 0  0  0  0  0  8  8  0  8  8  8  8  8  8  0  0  0  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+15x^26+154x^27+411x^28+934x^29+1905x^30+3978x^31+5339x^32+7338x^33+5377x^34+3906x^35+1944x^36+922x^37+303x^38+150x^39+40x^40+22x^41+16x^42+4x^43+9x^44

The gray image is a code over GF(2) with n=264, k=15 and d=104.
This code was found by Heurico 1.16 in 5.16 seconds.