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  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  1  1  1  3  1  3  1  1  1  1  3  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  3  1  1  1  1  3  1
 0  3  0  0  0  0  0  0  0  0  3  6  6  3  3  3  0  6  3  6  3  0  3  0  6  3  0  6  3  6  6  6  3  3  3  0  6  6  0  3  0  0  3  6  6  3  6  6  3  0  6  6  6  0  6  3  6  0  0  0  6  3  0  6  3  3  6  3  6  0  3  0  0  6  6  3  6  6  3  3  3  3  6  3  6  3  3  6  3  3
 0  0  3  0  0  0  0  3  6  6  6  0  0  6  3  6  3  0  3  3  0  6  6  0  3  3  6  0  3  0  6  6  6  3  6  0  6  6  3  6  6  0  3  0  6  6  0  3  0  3  0  6  0  0  6  6  0  3  6  3  3  0  6  3  3  3  0  0  3  6  3  0  3  3  0  0  3  0  3  6  3  0  3  3  3  3  6  3  6  6
 0  0  0  3  0  0  3  6  0  6  0  0  6  3  3  6  0  3  0  6  0  6  6  0  6  0  3  6  6  3  3  3  6  0  0  6  6  3  6  6  3  3  6  0  6  3  6  0  6  0  3  6  0  0  6  6  6  3  0  6  6  6  3  3  3  0  0  6  3  3  3  6  3  6  3  3  6  3  0  6  6  3  6  0  0  3  3  3  3  6
 0  0  0  0  3  0  6  6  3  0  6  6  6  0  6  6  0  6  3  0  6  6  0  3  6  0  6  3  0  3  0  3  0  6  0  6  0  6  3  3  0  6  6  3  6  6  0  3  0  6  3  6  0  0  0  6  0  6  6  6  6  6  0  6  6  0  0  0  6  3  6  3  3  3  0  6  0  0  3  6  6  0  3  6  3  0  3  3  0  0
 0  0  0  0  0  3  6  6  6  6  6  6  3  6  3  3  6  3  6  6  6  6  0  6  0  3  0  0  6  3  6  0  6  3  0  3  3  0  3  3  0  3  6  0  6  3  3  3  3  0  6  0  6  6  6  0  0  6  3  3  3  6  3  6  3  0  3  0  0  3  0  3  3  6  0  6  3  6  0  6  0  3  3  3  6  0  6  3  3  6

generates a code of length 90 over Z9 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+124x^168+128x^171+210x^174+410x^177+536x^180+448x^183+168x^186+42x^189+20x^192+24x^195+12x^198+16x^201+20x^204+8x^207+6x^210+10x^213+2x^219+2x^252

The gray image is a code over GF(3) with n=270, k=7 and d=168.
This code was found by Heurico 1.16 in 1.47 seconds.