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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+135x^56+312x^60+452x^64+603x^68+710x^72+4x^73+60x^75+711x^76+170x^77+330x^79+561x^80+638x^81+77x^82+964x^83+357x^84+5286x^85+215x^86+9570x^87+174x^88+5418x^89+342x^90+980x^91+61x^92+614x^93+525x^94+334x^95+14x^96+146x^97+691x^98+44x^99+4x^100+10x^101+736x^102+6x^103+1x^104+2x^105+640x^106+468x^110+255x^114+97x^118+42x^122+7x^126+1x^130

The gray image is a code over GF(2) with n=348, k=15 and d=112.
This code was found by Heurico 1.16 in 99.7 seconds.