Prime p₀= 2044775049305234927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 10 2 10 2 88 2 (?)
a_n: 0 2 90 92 102 104 114 116 204 206
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 206
Found by: Dingo
db: batch=80, k=10, 2 88 2 10 2

SPT(16)	2044774009471812901	0 16 28 36 46 66 106 126 130 150 190 210 220 228 240 256	-1039833422026
STPT(10)	2044774038386170979	0 2 18 20 30 32 42 44 60 62	-1010919063948
SPT(16)	2044774053212352923	0 24 60 68 108 114 128 198 266 336 350 356 396 404 440 464	-996092882004
STPT(10)	2044774580093122991	0 2 36 38 78 80 120 122 156 158	-469212111936
SPT(16)	2044774682806377937	0 6 76 84 132 142 154 162 184 192 204 214 262 270 340 346	-366498856990
SPT(16)	2044774746454426253	0 54 78 116 128 134 156 194 270 308 330 336 348 386 410 464	-302850808674
STPT(10)	2044775111720455529	0 2 18 20 30 32 42 44 60 62	62415220602
SPT(16)	2044775402305751231	0 26 96 138 140 152 156 158 180 182 186 198 200 242 312 338	353000516304
SPT(16)	2044775783335141253	0 20 36 78 108 116 126 134 150 158 168 176 206 248 264 284	734029906326
TPT(14)	2044775933424744101	0 2 30 32 156 158 168 170 246 248 306 308 360 362	884119509174
STPT(10)	2044776547382405531	0 2 36 38 78 80 120 122 156 158	1498077170604