The generator matrix

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

generates a code of length 32 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+56x^22+42x^23+168x^24+196x^25+344x^26+504x^27+803x^28+1258x^29+1625x^30+2100x^31+2144x^32+2056x^33+1709x^34+1296x^35+838x^36+548x^37+298x^38+146x^39+118x^40+36x^41+58x^42+8x^43+23x^44+2x^45+5x^46+1x^48+1x^50

The gray image is a code over GF(2) with n=128, k=14 and d=44.
This code was found by Heurico 1.16 in 5.28 seconds.