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

generates a code of length 74 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+86x^56+58x^58+187x^60+144x^62+306x^64+215x^66+32x^67+303x^68+224x^69+284x^70+672x^71+305x^72+1120x^73+8504x^74+1120x^75+329x^76+672x^77+312x^78+224x^79+235x^80+32x^81+310x^82+181x^84+242x^86+85x^88+126x^90+24x^92+40x^94+6x^96+3x^98+1x^102+1x^134

The gray image is a code over GF(2) with n=296, k=14 and d=112.
This code was found by Heurico 1.16 in 25.2 seconds.