The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^21+66x^22+96x^23+232x^24+188x^25+607x^26+308x^27+1306x^28+400x^29+1729x^30+404x^31+1315x^32+348x^33+606x^34+188x^35+196x^36+58x^37+60x^38+28x^39+20x^40+8x^41+3x^42+2x^44+1x^46

The gray image is a code over GF(2) with n=120, k=13 and d=42.
This code was found by Heurico 1.16 in 25.7 seconds.