The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+250x^72+292x^73+715x^74+616x^75+1108x^76+896x^77+1215x^78+1196x^79+1352x^80+1212x^81+1493x^82+1180x^83+1235x^84+908x^85+879x^86+580x^87+568x^88+192x^89+216x^90+76x^91+90x^92+20x^93+50x^94+25x^96+8x^98+11x^100

The gray image is a code over GF(2) with n=324, k=14 and d=144.
This code was found by Heurico 1.16 in 14.3 seconds.