The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^22+152x^23+285x^24+408x^25+639x^26+904x^27+1117x^28+1584x^29+1934x^30+2016x^31+2032x^32+1712x^33+1242x^34+912x^35+598x^36+368x^37+208x^38+104x^39+55x^40+24x^41+15x^42+8x^43+5x^44+2x^46+3x^48

The gray image is a code over GF(2) with n=124, k=14 and d=44.
This code was found by Heurico 1.16 in 5.3 seconds.