The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^22+10x^23+101x^24+74x^25+206x^26+536x^27+428x^28+1944x^29+765x^30+3580x^31+988x^32+3580x^33+812x^34+1944x^35+440x^36+536x^37+197x^38+74x^39+75x^40+10x^41+22x^42+12x^44+7x^46+3x^48+1x^54

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 3.76 seconds.