The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1  1  1  1  0  1  1  1 24  1 21  1  1  1  1  1 24  1  0  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 19 24  4 26 16  1  4 16  0  1 20  1  0 23 21 19 24  1 20  1  0  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18  9  0  0  0 18  9  0 18  9 18  0 18  9  0  0  9 18  0  9  9  9  0  9 18  0
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0  0 18 18 18 18 18  0 18  9 18  0  0 18  9  9 18  0  9  0  0 18 18 18  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9 18 18 18 18  0  9 18  0  9  0  9  9  9  0  0 18 18 18  0 18  0  0  9  0  9
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  0  9 18  9 18  0  0  9 18 18  9  9  0  9  9  0  9 18 18 18 18  0  0  0 18

generates a code of length 44 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+36x^75+36x^76+24x^77+208x^78+102x^79+360x^80+408x^81+1566x^82+2394x^83+512x^84+7146x^85+6774x^86+756x^87+13206x^88+8964x^89+808x^90+9396x^91+4680x^92+534x^93+540x^94+114x^95+228x^96+84x^97+18x^98+76x^99+30x^102+26x^105+12x^108+4x^111+6x^114

The gray image is a code over GF(3) with n=396, k=10 and d=225.
This code was found by Heurico 1.16 in 6.03 seconds.