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

generates a code of length 85 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+92x^72+6x^74+222x^76+52x^78+268x^80+128x^81+158x^82+512x^83+288x^84+768x^85+176x^86+512x^87+273x^88+128x^89+90x^90+194x^92+28x^94+110x^96+2x^98+55x^100+23x^104+8x^108+1x^112+1x^132

The gray image is a code over GF(2) with n=340, k=12 and d=144.
This code was found by Heurico 1.16 in 2.2 seconds.