The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+61x^22+8x^23+139x^24+256x^25+197x^26+752x^27+201x^28+256x^29+99x^30+8x^31+38x^32+23x^34+3x^36+4x^38+2x^40

The gray image is a code over GF(2) with n=216, k=11 and d=88.
This code was found by Heurico 1.16 in 0.0459 seconds.