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

generates a code of length 83 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+121x^56+315x^60+462x^64+632x^68+4x^69+10x^71+714x^72+68x^73+72x^74+242x^75+668x^76+528x^77+222x^78+1006x^79+562x^80+1480x^81+360x^82+17934x^83+358x^84+1380x^85+510x^86+1078x^87+173x^88+564x^89+673x^90+190x^91+73x^92+72x^93+729x^94+18x^95+15x^96+649x^98+2x^99+2x^100+486x^102+259x^106+93x^110+35x^114+7x^118+1x^134

The gray image is a code over GF(2) with n=332, k=15 and d=112.
This code was found by Heurico 1.16 in 98.3 seconds.