Prime p₀= 2776291814743778867 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

STPT(10)	2776288648871670377	0 2 30 32 42 44 54 56 84 86	-3165872108490
STPT(10)	2776289198758820747	0 2 30 32 72 74 114 116 144 146	-2615984958120
SPT(16)	2776290089777423623	0 18 34 48 70 88 94 106 108 120 126 144 166 180 196 214	-1724966355244
SPT(16)	2776290200218130833	0 6 18 28 76 138 144 160 234 250 256 318 366 376 388 394	-1614525648034
SPT(16)	2776291079282497927	0 10 12 52 54 82 96 132 184 220 234 262 264 304 306 316	-735461280940
TPT(14)	2776291444061677229	0 2 18 20 42 44 78 80 162 164 210 212 228 230	-370682101638
TPT(14)	2776292127056230889	0 2 30 32 138 140 192 194 198 200 210 212 240 242	312312452022
SPT(16)	2776292171976397057	0 36 54 76 90 96 112 142 144 174 190 196 210 232 250 286	357232618190
SPT(16)	2776292441669354761	0 18 126 136 192 216 238 258 280 300 322 346 402 412 520 538	626925575894
SPT(16)	2776292559933658637	0 6 42 86 132 170 212 222 230 240 282 320 366 410 446 452	745189879770
STPT(10)	2776292572411253177	0 2 84 86 102 104 120 122 204 206	757667474310