The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  1  0  6  1  2  1  1  1  1  1
 0  1  3  6  1  1  0  3  1  6  1  1  0  6  3  1  1  3  0  3  3  3  3  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  0  0  4  4  4  0  0  4  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  0  4  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  0  0  0  4  0  4  4  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  0  0  4  0  4  4  4  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  0  0  4  4  0  0  4  0  0  4  4  0
 0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  4  4  0  0  0  4  4
 0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  0  4  0  0  0  4  4  4  0
 0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  0  4  4  0  4  0  4

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

Homogenous weight enumerator: w(x)=1x^0+52x^14+14x^15+178x^16+56x^17+384x^18+474x^19+1000x^20+2192x^21+3652x^22+5468x^23+5816x^24+5440x^25+3680x^26+2180x^27+1040x^28+496x^29+380x^30+54x^31+149x^32+8x^33+32x^34+2x^35+8x^36+12x^38

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 4.82 seconds.