The generator matrix

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

generates a code of length 75 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+110x^68+148x^70+197x^72+142x^74+137x^76+80x^78+58x^80+38x^82+32x^84+26x^86+31x^88+12x^90+7x^92+2x^94+1x^96+2x^100

The gray image is a code over GF(2) with n=150, k=10 and d=68.
This code was found by Heurico 1.16 in 0.248 seconds.