The generator matrix

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

generates a code of length 30 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+110x^22+8x^23+390x^24+48x^25+736x^26+248x^27+1133x^28+736x^29+1364x^30+696x^31+1215x^32+240x^33+749x^34+72x^35+314x^36+102x^38+18x^40+10x^42+1x^44+1x^50

The gray image is a code over GF(2) with n=120, k=13 and d=44.
This code was found by Heurico 1.16 in 1.39 seconds.