The generator matrix

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

generates a code of length 88 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+201x^74+525x^76+807x^78+1124x^80+1333x^82+1537x^84+1705x^86+1855x^88+1876x^90+1612x^92+1343x^94+993x^96+694x^98+429x^100+179x^102+87x^104+39x^106+25x^108+14x^110+4x^112+1x^114

The gray image is a code over GF(2) with n=176, k=14 and d=74.
This code was found by Heurico 1.16 in 70.4 seconds.