The generator matrix

 1  0  0  0  0  1  1  1  1  1  6  1  0  1  1  6  1  3  1  1  1  0  1  3  1  1  1  6  1  1  1  1  1  1  1  3  1  1  1  6  1  1  1  1
 0  1  0  0  0  0  3  1  7  5  1  7  6  1  3  1  8  1  0  1  3  1  1  3  2  1  8  1  2  8  8  8  4  7  7  1  1  6  0  1  8  5  5  6
 0  0  1  0  0  0  7  3  5  4  7  7  1  3  7  6  2  5  2  4  5  8  1  1  6  6  5  5  3  3  0  6  3  3  5  4  2  2  2  7  1  8  6  4
 0  0  0  1  0  1  7  4  4  7  6  5  4  8  8  7  5  1  0  5  1  5  3  3  3  0  4  8  6  8  4  8  5  3  6  1  6  8  8  2  3  5  7  2
 0  0  0  0  1  8  6  0  1  7  2  1  5  8  2  2  7  6  2  6  0  6  2  1  8  0  4  7  4  1  5  2  7  8  1  7  2  6  7  8  7  8  3  8
 0  0  0  0  0  6  6  6  6  6  0  3  6  3  3  6  3  3  6  6  0  0  3  6  3  3  0  6  3  6  3  6  0  6  3  6  6  6  3  6  6  0  0  3

generates a code of length 44 over Z9 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+208x^72+216x^73+564x^74+1356x^75+1386x^76+1848x^77+3424x^78+3132x^79+4014x^80+6614x^81+5700x^82+6930x^83+10934x^84+9240x^85+9966x^86+14750x^87+11304x^88+11508x^89+15592x^90+11016x^91+9708x^92+11374x^93+6762x^94+5472x^95+5548x^96+2940x^97+2028x^98+1972x^99+672x^100+402x^101+324x^102+108x^103+48x^104+54x^105+12x^106+10x^108+4x^111+2x^114+2x^120+2x^126

The gray image is a code over GF(3) with n=132, k=11 and d=72.
This code was found by Heurico 1.13 in 116 seconds.