Prime p₀= 2575730648367319151 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Penguin
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2575729240174324543	0 4 24 84 96 130 154 180 220 246 270 304 316 376 396 400	-1408192994608
SPT(16)	2575729260859821323	0 8 24 54 74 78 126 140 204 218 266 270 290 320 336 344	-1387507497828
SPT(16)	2575729464253385633	0 20 26 48 50 68 90 110 156 176 198 216 218 240 246 266	-1184113933518
SPT(16)	2575729860514049431	0 52 66 70 90 106 156 162 190 196 246 262 282 286 300 352	-787853269720
STPT(10)	2575730061559514681	0 2 6 8 48 50 90 92 96 98	-586807804470
STPT(10)	2575730360200886129	0 2 42 44 90 92 138 140 180 182	-288166433022
SPT(16)	2575730669886345539	0 2 14 38 44 50 78 80 162 164 192 198 204 228 240 242	21519026388
STPT(10)	2575730781364513151	0 2 36 38 78 80 120 122 156 158	132997194000
SPT(16)	2575731156703083349	0 42 60 70 78 90 144 148 174 178 232 244 252 262 280 322	508335764198
STPT(10)	2575731169117655357	0 2 12 14 42 44 72 74 84 86	520750336206
STPT(10)	2575731175645576181	0 2 30 32 78 80 126 128 156 158	527278257030