The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^20+122x^21+342x^22+612x^23+1103x^24+1940x^25+3226x^26+5244x^27+7131x^28+8390x^29+8784x^30+8480x^31+7399x^32+5408x^33+3208x^34+1920x^35+1070x^36+510x^37+298x^38+124x^39+87x^40+12x^41+14x^42+4x^43+3x^44+2x^45+2x^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 45.9 seconds.