Prime p₀= 2589129881803179269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2589129041521433767	0 4 30 42 46 70 72 94 132 154 156 180 184 196 222 226	-840281745502
SPT(16)	2589129194667404843	0 18 56 84 114 180 194 210 254 270 284 350 380 408 446 464	-687135774426
SPT(16)	2589129415608866069	0 18 38 42 140 144 234 300 302 368 458 462 560 564 584 602	-466194313200
SPT(13)	2589129493079159713	0 78 168 198 246 270 288 306 330 378 408 498 576	-388724019556
STPT(10)	2589129588861504551	0 2 36 38 78 80 120 122 156 158	-292941674718
TPT(14)	2589129657911166647	0 2 54 56 60 62 90 92 102 104 114 116 210 212	-223892012622
TPT(14)	2589130078790796857	0 2 24 26 54 56 114 116 120 122 252 254 324 326	196987617588
STPT(10)	2589130415782116287	0 2 42 44 72 74 102 104 144 146	533978937018
SPT(16)	2589130595767561229	0 42 80 90 132 140 192 212 228 248 300 308 350 360 398 440	713964381960
SPT(18)	2589130751891807533	0 28 100 144 174 196 268 286 306 328 348 366 438 460 490 534 606 634	870088628264
SPT(16)	2589130779845156191	0 10 40 60 66 100 108 112 126 130 138 172 178 198 228 238	898041976922