The generator matrix

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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+65x^72+44x^74+24x^75+267x^76+208x^77+200x^78+544x^79+450x^80+1192x^81+308x^82+1728x^83+555x^84+2448x^85+432x^86+2448x^87+527x^88+1728x^89+308x^90+1192x^91+355x^92+544x^93+200x^94+208x^95+213x^96+24x^97+44x^98+68x^100+34x^104+16x^108+6x^112+3x^116

The gray image is a code over GF(2) with n=344, k=14 and d=144.
This code was found by Heurico 1.16 in 18 seconds.