The generator matrix

 1  1  1  1  1  1  1  1  2  0  1  1  2  1  0  1  2  0  1  2  1  1  1  2  1  1
 0  2  0  6  0  6  0  6  2  2  0  4  6  6  2  6  6  2  6  0  6  6  2  4  0  0
 0  0  4  0  0  0  0  0  0  0  0  4  0  0  0  0  4  4  0  4  0  0  0  4  4  4
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4
 0  0  0  0  4  0  0  0  0  0  0  4  0  0  4  4  4  0  4  0  4  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  0  4  0  0  4  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  0  0  4  4  0  4  4  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  4  0  4  0  4  4  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  4  0  0  4  0  0  4  4  0  0  0  4  4  4
 0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  0  4  0  0  4  0  0  4  4  4  4
 0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  4  4  0  0  0  0  4  4  0  0  0

generates a code of length 26 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+230x^16+764x^20+1024x^23+3024x^24+3072x^25+3072x^27+3192x^28+1024x^29+825x^32+140x^36+16x^40

The gray image is a code over GF(2) with n=104, k=14 and d=32.
This code was found by Heurico 1.16 in 2.8 seconds.