The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+79x^16+8x^17+145x^18+72x^19+356x^20+376x^21+748x^22+1808x^23+1809x^24+4544x^25+2959x^26+6912x^27+3032x^28+4480x^29+1842x^30+1840x^31+764x^32+312x^33+375x^34+120x^35+100x^36+8x^37+64x^38+3x^40+9x^42+2x^46

The gray image is a code over GF(2) with n=108, k=15 and d=32.
This code was found by Heurico 1.16 in 7.53 seconds.