The generator matrix

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

generates a code of length 78 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+195x^70+280x^72+287x^74+285x^76+234x^78+177x^80+160x^82+113x^84+107x^86+99x^88+53x^90+26x^92+20x^94+11x^96

The gray image is a code over GF(2) with n=156, k=11 and d=70.
This code was found by Heurico 1.09 in 3.25 seconds.