Prime p₀= 816994740550054271 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]FX
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	816994227422394379	0 18 52 88 100 180 204 228 274 298 322 402 414 450 484 502	-513127659892
SPT(16)	816994261370920597	0 16 46 126 156 172 174 180 286 292 294 310 340 420 450 466	-479179133674
SPT(16)	816994262818412941	0 30 48 58 72 78 100 118 150 168 190 196 210 220 238 268	-477731641330
STPT(10)	816994532740351751	0 2 36 38 78 80 120 122 156 158	-207809702520
STPT(12)	816994643412656741	0 2 48 50 90 92 126 128 168 170 216 218	-97137397530
STPT(10)	816994693871869061	0 2 6 8 48 50 90 92 96 98	-46678185210
SPT(16)	816994920832102867	0 4 46 70 72 82 166 184 192 210 294 304 306 330 372 376	180282048596
SPT(16)	816995182505914063	0 10 16 36 138 148 156 166 168 178 186 196 298 318 324 334	441955859792
TPT(14)	816995503161428081	0 2 30 32 78 80 96 98 108 110 210 212 240 242	762611373810
SPT(16)	816995608105863941	0 30 72 86 122 228 242 270 278 306 320 426 462 476 518 548	867555809670
SPT(16)	816995657402503639	0 34 40 60 112 144 180 202 210 232 268 300 352 372 378 412	916852449368