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  2  1  2  1  4  1  1  1  1  1  4  1  0  1  1  2  1  1  2  1  1  1  2  1  2  2  1  4  1  4  1  1  0  2  1  1  2  1  1  1  4  1  1  2  0  4  1
 0  2  0  0  0  0  0  0  0  2  6  2  2  6  2  2  4  0  4  6  6  2  2  4  2  4  0  6  4  6  2  4  4  4  4  4  4  4  0  4  6  6  6  0  2  0  0  0  2  6  6  0  4  4  6  6  2  2  4  0  0  2  6  2  6  0  4  2  2  0  0  6  0  4  4  0  2  4  2  2  6
 0  0  2  0  0  0  2  6  2  2  2  4  2  2  0  4  4  6  0  0  2  0  4  0  6  6  0  6  2  4  2  6  6  4  0  2  6  6  2  6  0  2  6  4  6  6  0  4  0  4  6  0  6  6  2  0  0  6  6  6  2  4  4  0  0  6  4  6  0  4  2  6  4  2  2  2  0  4  6  6  2
 0  0  0  2  0  2  2  2  4  4  0  0  2  6  6  2  4  6  2  2  6  0  6  2  0  4  0  2  4  4  0  6  6  0  6  2  2  4  2  2  4  4  0  2  0  0  4  0  6  0  0  6  0  4  4  4  0  2  6  2  4  0  4  0  2  4  2  6  0  0  0  6  2  2  6  6  2  4  4  4  2
 0  0  0  0  2  2  4  6  2  4  2  2  6  4  4  6  0  2  2  4  0  6  6  4  4  6  2  6  4  4  6  4  6  6  6  4  0  6  4  4  6  6  0  0  4  2  2  6  4  6  4  6  0  4  2  0  2  0  2  6  6  6  6  0  6  6  4  6  6  0  0  6  0  0  0  6  4  2  2  0  0
 0  0  0  0  0  4  4  4  0  0  4  4  4  4  0  0  4  0  0  4  0  0  4  4  4  4  4  0  4  4  0  0  0  0  4  0  4  0  0  0  0  4  0  4  0  4  4  4  4  4  4  0  0  0  4  0  0  0  4  4  0  0  0  0  0  4  0  0  4  0  4  4  0  4  0  4  4  0  4  4  0

generates a code of length 81 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+92x^72+8x^73+250x^74+44x^75+413x^76+164x^77+426x^78+136x^79+469x^80+308x^81+470x^82+176x^83+316x^84+140x^85+224x^86+24x^87+158x^88+20x^89+112x^90+4x^91+68x^92+44x^94+16x^96+8x^98+2x^100+2x^102+1x^124

The gray image is a code over GF(2) with n=324, k=12 and d=144.
This code was found by Heurico 1.16 in 1.52 seconds.