The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+28x^21+116x^22+140x^23+294x^24+140x^25+624x^26+204x^27+1052x^28+188x^29+572x^30+196x^31+287x^32+84x^33+88x^34+36x^35+28x^36+8x^37+8x^38+2x^40

The gray image is a code over GF(2) with n=112, k=12 and d=42.
This code was found by Heurico 1.16 in 0.354 seconds.