The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+234x^20+342x^22+32x^23+1364x^24+352x^25+2550x^26+1312x^27+5014x^28+2400x^29+5452x^30+2400x^31+5141x^32+1312x^33+2620x^34+352x^35+1350x^36+32x^37+286x^38+180x^40+14x^42+26x^44+2x^48

The gray image is a code over GF(2) with n=120, k=15 and d=40.
This code was found by Heurico 1.16 in 15.8 seconds.