The generator matrix

 1  0  0  0  1  1  1  6  1  6  4  1  1  6  1  1  1  6  4  2  6  1  1  1  1  4  4
 0  1  0  0  0  1  1  1  6  1  2  3  5  1  6  7  7  4  1  1  1  0  7  1  2  2  1
 0  0  1  0  1  1  0  1  0  0  1  3  2  1  1  6  3  1  3  0  5  3  4  1  2  4  2
 0  0  0  1  1  0  1  1  3  3  3  3  2  2  2  3  6  7  2  2  3  7  0  1  1  1  3
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  0  4  0  4  4  4  0  4  0  0  4  4
 0  0  0  0  0  4  0  0  0  4  4  4  0  0  4  4  0  0  0  4  4  0  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  4  4  0  0  4
 0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  0  0  4  4  0  4  4  4  4  0  0  4

generates a code of length 27 over Z8 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+16x^19+426x^20+672x^21+1698x^22+2808x^23+5263x^24+7600x^25+9056x^26+10536x^27+8917x^28+7616x^29+5212x^30+2952x^31+1853x^32+496x^33+288x^34+72x^35+48x^36+2x^38+3x^40+1x^44

The gray image is a code over GF(2) with n=108, k=16 and d=38.
This code was found by Heurico 1.16 in 34.7 seconds.