The generator matrix

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

generates a code of length 78 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+190x^70+261x^72+320x^74+240x^76+310x^78+154x^80+156x^82+118x^84+100x^86+67x^88+58x^90+42x^92+16x^94+13x^96+2x^98

The gray image is a code over GF(2) with n=156, k=11 and d=70.
This code was found by Heurico 1.16 in 59.3 seconds.