The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1 X+2  1  1  0  1  1  1  0  1 X+2  1  1  0  1  1 X+2  1  1  1  1  0  1 X+2  1  1  1  0  1  1 X+2  1 X+2  0  1  2  1  1  1  1  1  1  2  1  0  1 X+2  1  1  1  1  X  1  0  1  0  1 X+2  1  1  X  1  1  1  1  1  0  1  2  X  0  1  1  1  1  0  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1 X+2  1 X+1  0  1  3  0  3  1 X+2  1 X+1 X+3  1 X+2  3  1  0  0 X+1 X+2  1  3  1  0 X+2 X+1  1  3  X  1  3  1  1  0  1  1 X+1  2 X+2  0  3  1 X+1  1 X+1  1  0  2 X+3 X+2  1  0  1 X+3  1  1  1 X+3  3  2 X+1  2  3  X  1  1  2  0  1  1  0 X+1 X+2 X+1  1 X+1  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  2  0  2  0  2  0  0  0  2  2  0  2  2  0  0  0  2  2  2  0  2  0  0  2  2  0  2  2  2  0  2  0  0  0  2  2  2  0  0  0  2  0  2  0  2  2  0  0  2  2  0  2  0  0  0  2  2  0  0  0  2  2  2  2  2  2  2  2  2  0  0  0  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  2  0  0  0  2  0  0  0  0  0  2  2  0  2  0  0  2  2  0  2  2  0  0  2  0  2  0  0  2  0  0  2  2  2  0  2  2  0  2  2  0  2  0  2  2  0  0  2  2  0  2  2  0  2  2  2  2  2  2  0  2  2  2  0  2  0  0  2  0
 0  0  0  0  2  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  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  2  2  2  0  2  2  2  2  2  0  2  0  0  0  2  2  0  0  0  0  2  2  2  0  0  0  0  0  2  0  2  2  0  0  0  0  0  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  0  2  0  0  2  2  2  2  0  0  0  0  2  2  0  2  2  0  2  0  2  2  2  0  0  0  0  0  0  2  0  2  0  2  2  0  0  2  0  0  0  2  2  2  0  0  2  0  0  0  0  0  2  2  0  0  2  2  2  2  0  0  2  2  0  2  0  2  0  2  0  0
 0  0  0  0  0  0  2  0  0  0  2  0  2  0  2  0  2  2  0  2  2  2  2  2  0  2  0  2  0  2  2  0  2  2  2  0  0  0  2  2  2  0  0  2  0  2  2  0  2  2  2  0  0  2  0  2  2  0  0  0  2  0  0  2  2  0  2  2  2  0  2  0  2  0  2  0  2  0  0  0  2  2  2  2  2  0  2  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  2  2  0  0  2  2  0  0  0  2  0  0  2  0  0  2  2  2  2  2  2  0  2  0  0  2  0  2  0  0  2  0  0  2  0  0  0  0  2  0  2  2  0  2  2  2  2  0  2  2  0  2  0  2  2  2  0  0  2  0  0  0  2  2  2  0  0  0  0  2  2  0  2  2  0  0  0
 0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  2  2  2  0  2  0  2  0  2  0  0  2  2  0  2  0  0  0  2  0  0  2  0  2  2  0  0  2  0  2  2  2  2  0  2  2  0  2  0  2  0  0  0  2  0  2  2  0  0  0  0  2  2  0  0  0  2  0  2  0  2  2  0  0  2  0  0  2  2  0  2  0  0  0  0
 0  0  0  0  0  0  0  0  0  2  2  0  2  0  2  2  0  0  2  0  0  0  2  0  2  2  2  0  0  2  0  0  0  2  2  2  2  2  0  0  2  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  0  0  0  2  2  0  2  2  2  2  2  0  2  0  2  0  2  2  0  2  0  0  0  0  0  2  2  2  0  0  0  2  0  0

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+28x^76+18x^77+81x^78+78x^79+177x^80+278x^81+267x^82+574x^83+422x^84+950x^85+700x^86+1434x^87+943x^88+1756x^89+1021x^90+1804x^91+892x^92+1470x^93+718x^94+962x^95+419x^96+574x^97+182x^98+230x^99+120x^100+74x^101+51x^102+38x^103+36x^104+29x^106+24x^108+15x^110+7x^112+5x^114+2x^116+3x^118+1x^120

The gray image is a code over GF(2) with n=360, k=14 and d=152.
This code was found by Heurico 1.16 in 23.7 seconds.