Prime p₀= 1831586270618214569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [AF>Libristes] Davlabedave
db: batch=79, k=10, 2 16 2 10 2

SPT(16)	1831585016180920019	0 32 50 92 144 158 174 180 182 188 204 218 270 312 330 362	-1254437294550
SPT(16)	1831585201645035659	0 8 42 50 104 174 212 240 272 300 338 408 462 470 504 512	-1068973178910
SPT(16)	1831585263745139467	0 4 10 12 36 76 90 112 144 166 180 220 244 246 252 256	-1006873075102
SPT(16)	1831585508021425309	0 28 72 168 202 208 214 268 324 378 384 390 424 520 564 592	-762596789260
SPT(16)	1831585940000228767	0 34 40 42 54 70 76 94 192 210 216 232 244 246 252 286	-330617985802
SPT(16)	1831586014470211117	0 4 16 40 46 52 72 100 126 154 174 180 186 210 222 226	-256148003452
SPT(16)	1831586279851899479	0 44 74 84 104 128 138 140 198 200 210 234 254 264 294 338	9233684910
SPT(16)	1831586345195538209	0 54 120 150 174 192 194 222 260 288 290 308 332 362 428 482	74577323640
SPT(16)	1831586592016564091	0 18 78 120 122 158 192 198 212 218 252 288 290 332 392 410	321398349522
STPT(10)	1831586733983043941	0 2 36 38 78 80 120 122 156 158	463364829372
SPT(16)	1831587317090216053	0 40 58 90 184 198 214 264 274 324 340 354 448 480 498 538	1046472001484