The generator matrix

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

generates a code of length 23 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+79x^14+110x^15+351x^16+544x^17+1497x^18+1906x^19+5631x^20+5728x^21+12870x^22+7972x^23+12970x^24+5744x^25+5698x^26+1964x^27+1454x^28+512x^29+315x^30+78x^31+70x^32+16x^33+21x^34+2x^35+3x^36

The gray image is a code over GF(2) with n=92, k=16 and d=28.
This code was found by Heurico 1.16 in 24.2 seconds.