The generator matrix

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

generates a code of length 78 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+62x^74+67x^76+38x^78+35x^80+18x^82+17x^84+10x^86+7x^88+1x^144

The gray image is a code over GF(2) with n=156, k=8 and d=74.
This code was found by Heurico 1.16 in 32.7 seconds.