The generator matrix

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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+70x^70+260x^72+498x^74+447x^76+458x^78+443x^80+402x^82+398x^84+370x^86+248x^88+218x^90+145x^92+70x^94+40x^96+26x^98+2x^100

The gray image is a code over GF(2) with n=162, k=12 and d=70.
This code was found by Heurico 1.10 in 1.03 seconds.