The generator matrix

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

generates a code of length 70 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+26x^56+92x^57+154x^58+290x^59+351x^60+440x^61+579x^62+672x^63+684x^64+756x^65+912x^66+846x^67+838x^68+996x^69+1026x^70+940x^71+997x^72+942x^73+880x^74+812x^75+721x^76+618x^77+485x^78+422x^79+289x^80+218x^81+166x^82+108x^83+58x^84+34x^85+22x^86+6x^87+2x^88+1x^120

The gray image is a code over GF(2) with n=140, k=14 and d=56.
This code was found by Heurico 1.10 in 15 seconds.