The generator matrix

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

generates a code of length 26 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+36x^14+147x^16+253x^18+255x^20+323x^22+512x^23+605x^24+1536x^25+9001x^26+1536x^27+643x^28+512x^29+367x^30+264x^32+215x^34+125x^36+41x^38+7x^40+3x^42+1x^44+1x^46

The gray image is a code over GF(2) with n=104, k=14 and d=28.
This code was found by Heurico 1.16 in 2.27 seconds.