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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+46x^73+146x^74+178x^75+220x^76+348x^77+375x^78+520x^79+688x^80+770x^81+859x^82+1030x^83+1232x^84+1222x^85+1318x^86+1230x^87+1114x^88+1018x^89+928x^90+788x^91+550x^92+508x^93+339x^94+272x^95+201x^96+146x^97+91x^98+66x^99+76x^100+34x^101+32x^102+10x^103+10x^104+4x^105+8x^106+2x^107+2x^108+2x^112

The gray image is a code over GF(2) with n=344, k=14 and d=146.
This code was found by Heurico 1.16 in 25 seconds.