The generator matrix

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

generates a code of length 84 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+50x^72+44x^73+163x^74+216x^75+418x^76+390x^77+813x^78+702x^79+1217x^80+830x^81+1561x^82+928x^83+1832x^84+944x^85+1669x^86+798x^87+1163x^88+664x^89+723x^90+320x^91+355x^92+166x^93+143x^94+98x^95+59x^96+30x^97+31x^98+8x^99+18x^100+4x^101+11x^102+2x^103+5x^104+2x^106+1x^108+4x^110+1x^112

The gray image is a code over GF(2) with n=336, k=14 and d=144.
This code was found by Heurico 1.16 in 17.2 seconds.