The generator matrix

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

generates a code of length 22 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+32x^14+76x^15+143x^16+352x^17+468x^18+1060x^19+1896x^20+2572x^21+3092x^22+2652x^23+1922x^24+1100x^25+476x^26+300x^27+128x^28+68x^29+28x^30+8x^31+6x^32+4x^33

The gray image is a code over GF(2) with n=88, k=14 and d=28.
This code was found by Heurico 1.16 in 1.74 seconds.