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  2  1  1  1  1  1  1  1  0  1  1  1  2  1  2  1  1  2  1  1  1  2  1  1  2  1  2  1  1  4  1  1  4  1  1  0  1  1  2  2  1
 0  2  0  0  0  2  6  2  4  0  4  4  2  2  6  2  0  4  0  6  2  4  2  6  0  2  4  6  0  0  6  2  2  6  6  4  4  6  0  2  6  4  2  2  0  0  2  2  2  2  0  6  0  4  4  0  2  6  6  0  0  2  4  0  2  4  4  2  2  4  4  4  4  6  6  0
 0  0  2  0  2  2  2  4  6  2  4  0  6  0  2  4  0  2  6  6  4  0  0  2  2  6  0  4  4  2  0  6  2  2  0  2  0  6  0  4  0  2  6  6  0  4  0  2  4  4  4  0  2  2  0  2  6  0  0  6  4  2  6  4  4  2  6  0  0  4  2  4  4  6  6  0
 0  0  0  2  2  0  2  6  2  4  0  2  4  0  2  6  4  4  6  6  0  2  6  0  4  2  6  4  0  2  2  0  0  0  0  4  6  6  6  2  6  6  2  2  0  0  6  4  6  2  2  4  6  6  6  0  4  2  4  0  6  2  4  4  6  4  0  0  4  6  2  0  2  6  2  0
 0  0  0  0  4  0  0  0  0  0  4  4  0  4  4  0  4  4  0  4  0  4  4  4  4  0  0  4  0  4  4  4  4  0  0  4  4  0  0  0  4  0  0  4  0  4  0  0  4  4  4  0  4  4  0  4  4  4  4  0  0  4  0  4  4  0  0  4  4  0  4  4  0  0  0  0
 0  0  0  0  0  4  4  0  4  4  0  4  0  0  4  4  4  4  0  0  4  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  0  0  0  0  0  4  4  0  4  4  4  4  4  0  4  0  0  0  0  4  0  0  4  4  4  0  0  0  0  4  4  4  0  0  4  4  4  0  0  0

generates a code of length 76 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+33x^68+70x^69+85x^70+96x^71+136x^72+176x^73+177x^74+196x^75+220x^76+204x^77+183x^78+140x^79+68x^80+56x^81+39x^82+32x^83+34x^84+30x^85+18x^86+12x^87+19x^88+8x^89+8x^90+4x^91+1x^92+1x^94+1x^126

The gray image is a code over GF(2) with n=304, k=11 and d=136.
This code was found by Heurico 1.16 in 0.482 seconds.