The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+57x^22+74x^23+196x^24+500x^25+637x^26+2404x^27+2404x^28+6594x^29+5453x^30+10796x^31+7075x^32+10976x^33+5447x^34+6752x^35+2432x^36+2348x^37+643x^38+442x^39+168x^40+60x^41+43x^42+12x^43+12x^44+2x^45+7x^46+1x^50

The gray image is a code over GF(2) with n=128, k=16 and d=44.
This code was found by Heurico 1.16 in 40.8 seconds.