The generator matrix

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

generates a code of length 74 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+242x^68+56x^70+288x^72+38x^74+179x^76+20x^78+89x^80+8x^82+48x^84+4x^86+38x^88+2x^90+11x^92

The gray image is a code over GF(2) with n=148, k=10 and d=68.
This code was found by Heurico 1.16 in 65.6 seconds.