The generator matrix

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

generates a code of length 76 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+178x^68+294x^70+322x^72+246x^74+231x^76+152x^78+173x^80+148x^82+124x^84+82x^86+40x^88+30x^90+19x^92+8x^94

The gray image is a code over GF(2) with n=152, k=11 and d=68.
This code was found by Heurico 1.16 in 1 seconds.