The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+87x^26+110x^27+306x^28+368x^29+643x^30+766x^31+1184x^32+1566x^33+1873x^34+2364x^35+2573x^36+2922x^37+2912x^38+3120x^39+2675x^40+2412x^41+2038x^42+1510x^43+1172x^44+836x^45+547x^46+302x^47+248x^48+86x^49+81x^50+16x^51+29x^52+2x^53+10x^54+4x^55+3x^56+1x^58+1x^64

The gray image is a code over GF(2) with n=76, k=15 and d=26.
This code was found by Heurico 1.16 in 56.3 seconds.