Prime p₀= 2082456581950065197 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=80, k=10, 2 28 2 28 2

SPT(16)	2082455059967434129	0 22 82 112 118 138 150 162 250 262 274 294 300 330 390 412	-1521982631068
SPT(16)	2082455316627847169	0 2 38 42 50 72 120 138 224 242 290 312 320 324 360 362	-1265322218028
SPT(16)	2082455567401056733	0 18 46 48 54 88 114 120 124 130 156 190 196 198 226 244	-1014549008464
STPT(10)	2082455776490749067	0 2 72 74 102 104 132 134 204 206	-805459316130
STPT(10)	2082455943392482751	0 2 30 32 60 62 90 92 120 122	-638557582446
STPT(10)	2082456351623296469	0 2 18 20 30 32 42 44 60 62	-230326768728
SPT(16)	2082456626745034381	0 22 70 130 132 160 220 226 246 252 312 340 342 402 450 472	44794969184
STPT(10)	2082456744527480939	0 2 48 50 60 62 72 74 120 122	162577415742
SPT(16)	2082457327245848159	0 24 68 90 104 158 164 180 272 288 294 348 362 384 428 452	745295782962
STPT(10)	2082457604225919719	0 2 42 44 120 122 198 200 240 242	1022275854522
STPT(10)	2082457666086791867	0 2 30 32 42 44 54 56 84 86	1084136726670