The generator matrix

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

generates a code of length 73 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+6x^34+18x^35+17x^36+54x^37+57x^38+106x^39+191x^40+216x^41+275x^42+334x^43+501x^44+608x^45+671x^46+778x^47+706x^48+616x^49+688x^50+566x^51+435x^52+430x^53+256x^54+198x^55+155x^56+112x^57+87x^58+44x^59+47x^60+44x^61+73x^62+90x^63+207x^64+310x^65+660x^66+988x^67+1970x^68+2662x^69+3923x^70+5114x^71+5444x^72+6260x^73+5456x^74+4994x^75+3948x^76+2692x^77+1950x^78+1008x^79+676x^80+312x^81+226x^82+102x^83+46x^84+42x^85+31x^86+40x^87+82x^88+98x^89+132x^90+262x^91+301x^92+362x^93+520x^94+478x^95+684x^96+688x^97+664x^98+834x^99+613x^100+596x^101+525x^102+318x^103+262x^104+246x^105+160x^106+94x^107+79x^108+30x^109+18x^110+14x^111+16x^112+6x^113+6x^114+4x^115+3x^116

The gray image is a code over GF(2) with n=292, k=16 and d=68.
This code was found by Heurico 1.16 in 98.3 seconds.