Prime p₀= 2782668408131876021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2782667270256208337	0 2 30 32 60 62 90 92 120 122	-1137875667684
SPT(16)	2782667688996223387	0 30 34 64 102 112 120 132 142 154 162 172 210 240 244 274	-719135652634
SPT(16)	2782667701216255219	0 64 100 108 112 168 184 220 222 258 274 330 334 342 378 442	-706915620802
SPT(16)	2782667871233250851	0 12 42 50 110 120 162 168 182 188 230 240 300 308 338 350	-536898625170
SPT(16)	2782667877195913051	0 10 36 46 70 72 120 126 256 262 310 312 336 346 372 382	-530935962970
STPT(10)	2782668232552680209	0 2 48 50 90 92 132 134 180 182	-175579195812
STPT(10)	2782668585262627421	0 2 6 8 48 50 90 92 96 98	177130751400
SPT(16)	2782668707690587519	0 58 102 112 114 150 160 172 180 192 202 238 240 250 294 352	299558711498
TPT(14)	2782668898556654057	0 2 12 14 30 32 42 44 144 146 222 224 240 242	490424778036
TPT(14)	2782668935198627261	0 2 48 50 78 80 120 122 180 182 210 212 246 248	527066751240
SPT(16)	2782668951094248767	0 26 56 84 110 132 150 162 194 206 224 246 272 300 330 356	542962372746