Prime p₀= 2308951724129006651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2308950501305932177	0 36 66 124 126 150 166 196 234 264 280 304 306 364 394 430	-1222823074474
SPT(16)	2308950536045130449	0 14 72 104 114 168 174 258 344 428 434 488 498 530 588 602	-1188083876202
SPT(16)	2308950626517816737	0 24 44 56 66 84 86 92 144 150 152 170 180 192 212 236	-1097611189914
SPT(16)	2308950626901290201	0 12 18 26 42 48 86 90 98 102 140 146 162 170 176 188	-1097227716450
SPT(16)	2308950963019686497	0 14 26 32 54 72 80 116 150 186 194 212 234 240 252 266	-761109320154
STPT(10)	2308951473711219497	0 2 30 32 42 44 54 56 84 86	-250417787154
STPT(10)	2308952430446800277	0 2 12 14 42 44 72 74 84 86	706317793626
STPT(10)	2308952860458540851	0 2 36 38 78 80 120 122 156 158	1136329534200
STPT(10)	2308952957225292281	0 2 36 38 78 80 120 122 156 158	1233096285630
SPT(16)	2308952966642516899	0 34 64 70 90 124 144 174 250 280 300 334 354 360 390 424	1242513510248
STPT(10)	2308953035965039337	0 2 30 32 42 44 54 56 84 86	1311836032686