The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  2  6  2  0  0  4  2  6  2  6  2  0  2  2  4  6  4  0  0
 0  0  2  0  2  2  6  0  0  2  2  2  6  4  0  0  2  6  0  0  0  4  2  0
 0  0  0  2  2  0  6  2  2  2  0  0  6  2  0  2  6  2  2  4  0  6  2  0
 0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  0  4  4  0  4  4  0  4  0
 0  0  0  0  0  4  0  0  0  0  4  0  0  4  4  0  4  0  4  0  0  4  4  0
 0  0  0  0  0  0  4  0  0  0  4  4  4  4  4  0  0  4  0  0  4  0  4  4
 0  0  0  0  0  0  0  4  0  0  4  4  0  0  4  0  4  4  4  0  4  0  0  4
 0  0  0  0  0  0  0  0  4  0  4  0  4  0  4  4  0  4  0  4  0  0  0  0
 0  0  0  0  0  0  0  0  0  4  4  4  4  0  0  4  0  0  0  0  4  0  4  0

generates a code of length 24 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+33x^14+74x^15+164x^16+230x^17+435x^18+646x^19+1823x^20+1330x^21+5172x^22+1804x^23+9313x^24+1828x^25+5158x^26+1332x^27+1878x^28+652x^29+425x^30+234x^31+121x^32+54x^33+39x^34+6x^35+11x^36+2x^37+2x^38+1x^40

The gray image is a code over GF(2) with n=96, k=15 and d=28.
This code was found by Heurico 1.16 in 7.94 seconds.