The generator matrix

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

generates a code of length 21 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+69x^14+116x^15+240x^16+362x^17+560x^18+934x^19+1151x^20+1286x^21+1206x^22+906x^23+594x^24+390x^25+208x^26+90x^27+56x^28+10x^29+5x^30+2x^31+5x^32+1x^36

The gray image is a code over GF(2) with n=84, k=13 and d=28.
This code was found by Heurico 1.16 in 0.715 seconds.