Prime p₀= 2772044556567779807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2772043256229227147	0 14 24 30 74 90 102 146 150 194 206 222 266 272 282 296	-1300338552660
STPT(10)	2772043342408355381	0 2 36 38 78 80 120 122 156 158	-1214159424426
STPT(10)	2772043399983652229	0 2 78 80 120 122 162 164 240 242	-1156584127578
STPT(10)	2772043646176232957	0 2 60 62 72 74 84 86 144 146	-910391546850
SPT(16)	2772044081387062381	0 60 76 82 102 132 138 148 180 190 196 226 246 252 268 328	-475180717426
STPT(12)	2772044192879618387	0 2 12 14 42 44 90 92 120 122 132 134	-363688161420
SPT(16)	2772046098071258221	0 6 10 42 76 82 90 100 108 118 126 132 166 198 202 208	1541503478414
STPT(10)	2772046152463507817	0 2 60 62 72 74 84 86 144 146	1595895728010
STPT(10)	2772046232241464207	0 2 30 32 42 44 54 56 84 86	1675673684400
STPT(10)	2772046815147185657	0 2 54 56 72 74 90 92 144 146	2258579405850
TPT(14)	2772046824231007571	0 2 48 50 78 80 180 182 216 218 276 278 336 338	2267663227764