The generator matrix

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

generates a code of length 30 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+42x^20+60x^21+243x^22+458x^23+1007x^24+1736x^25+3289x^26+5106x^27+6835x^28+9040x^29+9779x^30+8972x^31+7062x^32+5160x^33+3346x^34+1772x^35+872x^36+372x^37+225x^38+74x^39+49x^40+16x^41+13x^42+2x^43+3x^44+1x^46+1x^48

The gray image is a code over GF(2) with n=120, k=16 and d=40.
This code was found by Heurico 1.16 in 36.7 seconds.