The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  3  1  1  1  3  1  1 18  1  3  1
 0  3  0  0  0 24  9 18  0  9 18 12 15 21 15 21 21 12  6 21  3 21 15  6  6  6 24 15 24 24  6  0  9 21 24  3  9 18  0  3 18 21
 0  0  3  0  9 18 15 21  6 21  6  3 15 15 21  3 24  0 15  9 12 15 24  3  9  9  3 18 24 21 21 21 24 24 24 24 21 12  3 15  0 24
 0  0  0  3 15  0 18 15 12 12  6 24  9 24  9 18  0 15 15  3  3 21 12  3 12 15  6 12 12  9 12  6 12 21  0 21 21 12 12  0 24  6

generates a code of length 42 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+200x^75+216x^76+312x^77+544x^78+360x^79+750x^80+1388x^81+1770x^82+1638x^83+4198x^84+3318x^85+1638x^86+1548x^87+390x^88+282x^89+372x^90+156x^91+180x^92+214x^93+102x^94+48x^95+38x^96+6x^97+12x^98+2x^111

The gray image is a code over GF(3) with n=378, k=9 and d=225.
This code was found by Heurico 1.16 in 1.17 seconds.