The generator matrix

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

generates a code of length 30 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+52x^21+119x^22+226x^23+335x^24+558x^25+775x^26+1208x^27+1706x^28+2048x^29+2294x^30+2012x^31+1753x^32+1268x^33+811x^34+600x^35+268x^36+156x^37+91x^38+50x^39+31x^40+14x^41+5x^42+2x^44+1x^50

The gray image is a code over GF(2) with n=120, k=14 and d=42.
This code was found by Heurico 1.16 in 4.91 seconds.