The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+410x^24+348x^25+892x^26+748x^27+1285x^28+936x^29+1240x^30+680x^31+920x^32+316x^33+292x^34+44x^35+71x^36+8x^38+1x^40

The gray image is a code over GF(2) with n=116, k=13 and d=48.
This code was found by Heurico 1.16 in 52.7 seconds.