The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+285x^68+299x^72+240x^76+84x^80+69x^84+31x^88+14x^92+1x^96

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 45.9 seconds.