The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+106x^22+238x^23+475x^24+890x^25+1889x^26+3180x^27+5081x^28+7340x^29+8772x^30+9552x^31+8865x^32+7184x^33+5191x^34+3244x^35+1858x^36+948x^37+402x^38+162x^39+99x^40+22x^41+23x^42+8x^43+5x^44+1x^50

The gray image is a code over GF(2) with n=124, k=16 and d=44.
This code was found by Heurico 1.16 in 44.1 seconds.