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

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

Homogenous weight enumerator: w(x)=1x^0+209x^72+4x^73+402x^74+40x^75+994x^76+176x^77+1218x^78+400x^79+1991x^80+736x^81+2488x^82+1196x^83+3349x^84+1504x^85+3216x^86+1536x^87+3397x^88+1284x^89+2794x^90+768x^91+1830x^92+336x^93+1202x^94+144x^95+760x^96+56x^97+388x^98+12x^99+195x^100+60x^102+56x^104+8x^106+14x^108+1x^112+2x^116+1x^128

The gray image is a code over GF(2) with n=344, k=15 and d=144.
This code was found by Heurico 1.16 in 92.5 seconds.