The generator matrix

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

generates a code of length 24 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+254x^16+16x^17+486x^18+496x^19+1632x^20+2512x^21+3360x^22+5168x^23+4890x^24+5168x^25+3356x^26+2512x^27+1728x^28+496x^29+464x^30+16x^31+181x^32+14x^34+16x^36+2x^40

The gray image is a code over GF(2) with n=96, k=15 and d=32.
This code was found by Heurico 1.16 in 22.2 seconds.