The generator matrix

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

generates a code of length 80 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+178x^70+379x^72+464x^74+470x^76+480x^78+420x^80+422x^82+357x^84+320x^86+219x^88+190x^90+104x^92+46x^94+29x^96+12x^98+5x^100

The gray image is a code over GF(2) with n=160, k=12 and d=70.
This code was found by Heurico 1.10 in 1.09 seconds.