The generator matrix

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

generates a code of length 30 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+142x^16+38x^18+12x^19+388x^20+44x^21+294x^22+220x^23+1004x^24+636x^25+684x^26+2296x^27+3172x^28+4984x^29+5026x^30+4984x^31+2841x^32+2296x^33+1180x^34+636x^35+524x^36+220x^37+714x^38+44x^39+108x^40+12x^41+204x^42+12x^44+46x^46+6x^50

The gray image is a code over GF(2) with n=120, k=15 and d=32.
This code was found by Heurico 1.16 in 9.91 seconds.