The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^14+48x^15+218x^16+240x^17+444x^18+640x^19+1404x^20+2304x^21+3568x^22+4960x^23+4924x^24+4960x^25+3608x^26+2304x^27+1464x^28+640x^29+452x^30+240x^31+165x^32+48x^33+44x^34+12x^36+8x^38+4x^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 36 seconds.