The generator matrix

1 0 0 0 0 1 1 1 2 0 1 1 1 0 1 0 1 2 2 1 1 2 1 0 0 1 1 2 1 0 1 0 2 2 1 1 1 0 1 1 2 2 1 2 1 2 0 0 1 1 1 1 1 2 1 1 1 0 0 1 0 2 2 1 0 2 2 2 1 1 1 1 1 1 2 2 2 1
0 1 0 0 0 0 0 0 0 0 2 2 0 2 2 0 1 1 1 3 1 1 3 1 1 1 1 1 1 1 3 2 1 2 2 3 2 1 2 0 1 0 1 2 0 1 1 1 3 2 0 2 1 0 2 1 0 0 2 3 1 1 2 2 2 1 1 1 0 0 0 1 2 3 1 2 2 3
0 0 1 0 0 0 1 1 1 2 0 1 0 1 3 1 2 0 1 1 3 2 0 3 0 0 2 1 1 2 2 1 1 2 2 0 0 2 3 2 3 2 3 1 3 1 1 0 1 3 3 2 1 2 0 1 2 1 2 3 0 1 2 1 1 3 0 3 3 1 1 3 0 1 0 1 1 2
0 0 0 1 0 1 2 3 1 1 0 2 3 2 3 3 0 3 1 1 2 2 3 0 1 2 1 3 0 2 0 0 0 1 2 0 1 3 0 3 1 1 0 2 1 0 1 0 1 1 2 3 3 1 2 1 0 3 0 2 3 2 0 3 2 1 3 2 3 1 3 1 2 0 0 0 2 1
0 0 0 0 1 2 0 2 2 1 1 3 1 1 3 1 3 0 3 0 3 1 2 1 1 0 1 2 2 3 0 0 1 0 1 3 3 2 2 0 1 1 1 1 1 3 0 2 2 0 3 1 3 3 3 3 3 2 1 3 1 3 1 2 2 0 1 2 0 0 3 3 1 1 0 2 3 2

generates a code of length 78 over Z4 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+46x^71+77x^72+116x^73+106x^74+80x^75+85x^76+66x^77+75x^78+54x^79+41x^80+38x^81+33x^82+32x^83+19x^84+28x^85+23x^86+14x^87+25x^88+16x^89+14x^90+4x^91+6x^92+4x^93+4x^94+6x^95+2x^96+2x^97+1x^98+4x^99+2x^101

The gray image is a code over GF(2) with n=156, k=10 and d=71.
This code was found by Heurico 1.10 in 0.078 seconds.