The generator matrix

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

generates a code of length 97 over Z4 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+31x^96+64x^97+30x^98+1x^130+1x^162

The gray image is a code over GF(2) with n=194, k=7 and d=96.
This code was found by Heurico 1.16 in 0.191 seconds.