The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+121x^70+186x^72+158x^74+131x^76+99x^78+96x^80+64x^82+53x^84+45x^86+23x^88+14x^90+16x^92+11x^94+6x^96

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 0.244 seconds.