Prime p₀= 2306634275017538237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2306632833323708317	0 16 22 52 70 120 142 162 220 240 262 312 330 360 366 382	-1441693829920
SPT(16)	2306632894333014593	0 24 78 126 156 180 216 258 296 338 374 398 428 476 530 554	-1380684523644
STPT(10)	2306633040896487629	0 2 18 20 30 32 42 44 60 62	-1234121050608
STPT(10)	2306633378331019259	0 2 18 20 30 32 42 44 60 62	-896686518978
STPT(10)	2306633460279391091	0 2 30 32 60 62 90 92 120 122	-814738147146
SPT(16)	2306633538487858781	0 6 26 48 62 66 68 102 146 180 182 186 200 222 242 248	-736529679456
STPT(10)	2306634385830925037	0 2 30 32 42 44 54 56 84 86	110813386800
SPT(16)	2306634517351609699	0 4 28 60 72 94 114 130 132 148 168 190 202 234 258 262	242334071462
SPT(16)	2306635210860209683	0 16 94 100 124 210 258 268 276 286 334 420 444 450 528 544	935842671446
TPT(14)	2306635601327875787	0 2 12 14 72 74 114 116 144 146 180 182 210 212	1326310337550
SPT(16)	2306635825630783069	0 10 24 34 40 42 90 114 118 142 190 192 198 208 222 232	1550613244832