The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+34x^25+18x^26+158x^27+6x^28+30x^29+4x^30+2x^31+2x^34+1x^40

The gray image is a code over GF(2) with n=216, k=8 and d=100.
This code was found by Heurico 1.16 in 0.00936 seconds.