The generator matrix

 1  0  0  0  1  1  1  2  0  0  0  1  1  1  1  1  1  1  0  2  1  1  1  0  1  0  0  1  1  2  2  2  1  0  1  0  1  1  1  0  1  2  2  1  1  0  1  1  2  1  2  0  1  1  1  1  2  2  1  1  0  1  2  1  2  0  2  0  1  1  1  1  0  2  1  1  2  2
 0  1  0  0  0  0  0  0  1  1  1  1  1  3  1  2  0  2  0  2  3  1  3  1  3  1  1  2  3  0  1  2  1  2  0  2  3  0  0  1  3  1  2  2  1  1  1  0  1  1  2  1  1  3  1  2  2  1  0  2  0  1  1  3  1  1  1  1  2  3  3  2  1  2  0  0  0  2
 0  0  1  0  0  1  1  1  2  1  3  1  0  1  2  2  3  1  2  1  1  1  0  0  2  2  3  0  3  2  3  1  0  1  1  1  0  2  2  2  3  3  0  0  0  2  0  0  1  1  2  2  1  0  1  0  0  1  3  0  1  0  2  3  3  1  1  0  2  0  1  1  1  1  0  0  2  1
 0  0  0  1  1  1  0  1  1  3  2  2  3  1  0  2  3  0  1  3  3  2  1  1  2  2  0  3  3  1  1  3  3  1  3  2  1  3  3  3  3  0  1  0  1  1  2  3  1  3  1  2  0  3  2  3  1  0  2  0  1  2  0  3  1  3  2  0  3  2  2  1  2  2  3  0  1  3
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  0  2  0  2  0  0  2  0  2  0  2  2  2  2  2  2  0  2  2  0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  0  2  0  2  0  2  0  2  0  2  0  0  0  0  2  0  2
 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  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  2  0  0  2  2  2  0  2  2  0  0  2  0  0  2  2  2  0  2  2  2
 0  0  0  0  0  0  2  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  0  2  0  2  2  0  0  2  0  0  2  2  0  2  2  0  0  0  2  2  0  2  0  2  2  2  0  2  2  2  0  2  2  2  2  2  0  2  0  2  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+191x^70+276x^72+311x^74+267x^76+236x^78+181x^80+150x^82+108x^84+126x^86+92x^88+57x^90+25x^92+14x^94+10x^96+2x^98+1x^102

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 22.1 seconds.