The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+68x^25+146x^26+182x^27+253x^28+334x^29+569x^30+1626x^31+3143x^32+3790x^33+3091x^34+1598x^35+645x^36+362x^37+186x^38+158x^39+115x^40+54x^41+39x^42+20x^43+2x^44+1x^48+1x^54

The gray image is a code over GF(2) with n=264, k=14 and d=100.
This code was found by Heurico 1.16 in 2.86 seconds.