Prime p₀= 2729605358359173797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2729604557591975363	0 24 26 48 80 144 150 186 278 314 320 384 416 438 440 464	-800767198434
SPT(16)	2729604696614058889	0 28 84 90 184 198 238 252 280 294 334 348 442 448 504 532	-661745114908
STPT(10)	2729605022360041289	0 2 48 50 60 62 72 74 120 122	-335999132508
SPT(16)	2729605172833230899	0 78 84 110 128 132 152 182 210 240 260 264 282 308 314 392	-185525942898
STPT(10)	2729605228745017289	0 2 18 20 60 62 102 104 120 122	-129614156508
SPT(16)	2729605232602177549	0 28 54 78 100 124 132 168 244 280 288 312 334 358 384 412	-125756996248
SPT(16)	2729605467862501807	0 10 40 42 52 112 120 144 172 196 204 264 274 276 306 316	109503328010
SPT(16)	2729605497715160179	0 22 30 40 70 78 100 108 112 120 142 150 180 190 198 220	139355986382
SPT(16)	2729605546300237277	0 12 14 26 72 102 114 180 296 362 374 404 450 462 464 476	187941063480
STPT(10)	2729605650412786721	0 2 36 38 78 80 120 122 156 158	292053612924
TPT(14)	2729605870724872619	0 2 42 44 60 62 132 134 228 230 258 260 342 344	512365698822