The generator matrix
1 1 1 1 1 1 1 1 1 1 2 2 4 2 1
0 12 0 0 0 4 12 4 8 0 8 12 12 8 8
0 0 12 0 4 4 4 8 0 8 12 4 4 4 12
0 0 0 12 4 8 4 4 4 0 4 4 12 0 4
0 0 0 0 8 8 8 0 8 8 0 0 8 0 8
generates a code of length 15 over Z16 who´s minimum homogenous weight is 11.
Homogenous weight enumerator: w(x)=1x^0+38x^11+94x^12+122x^13+428x^14+700x^15+423x^16+132x^17+48x^18+30x^19+26x^20+2x^21+4x^22
The gray image is a code over GF(2) with n=120, k=11 and d=44.
This code was found by Heurico 1.16 in 11.9 seconds.