The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+290x^20+32x^21+724x^22+192x^23+1891x^24+768x^25+3428x^26+1856x^27+5936x^28+2496x^29+5752x^30+1856x^31+3894x^32+768x^33+1688x^34+192x^35+714x^36+32x^37+180x^38+69x^40+4x^42+4x^44+1x^48

The gray image is a code over GF(2) with n=116, k=15 and d=40.
This code was found by Heurico 1.16 in 14.9 seconds.