The generator matrix

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

generates a code of length 18 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+42x^14+234x^15+261x^16+306x^17+412x^18+260x^19+264x^20+196x^21+42x^22+18x^23+2x^24+10x^25

The gray image is a code over GF(2) with n=72, k=11 and d=28.
This code was found by Heurico 1.16 in 0.0271 seconds.