The generator matrix

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

generates a code of length 76 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+240x^70+61x^72+300x^74+24x^76+166x^78+23x^80+100x^82+6x^84+54x^86+9x^88+24x^90+2x^92+10x^94+2x^96+2x^102

The gray image is a code over GF(2) with n=152, k=10 and d=70.
This code was found by Heurico 1.16 in 80.2 seconds.