The generator matrix

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

generates a code of length 77 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+78x^70+225x^72+176x^74+124x^76+104x^78+97x^80+70x^82+40x^84+28x^86+31x^88+18x^90+16x^92+6x^94+6x^96+4x^100

The gray image is a code over GF(2) with n=154, k=10 and d=70.
This code was found by Heurico 1.16 in 0.234 seconds.