Prime p₀= 2087033638018723727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: vaughan
db: batch=80, k=10, 2 82 2 46 2

SPT(16)	2087032886847492973	0 36 60 78 126 154 160 240 244 324 330 358 406 424 448 484	-751171230754
STPT(10)	2087032960510100357	0 2 30 32 42 44 54 56 84 86	-677508623370
TPT(14)	2087032981201738277	0 2 30 32 54 56 114 116 264 266 372 374 432 434	-656816985450
SPT(16)	2087033077347360827	0 12 14 20 54 60 114 122 174 182 236 242 276 282 284 296	-560671362900
SPT(16)	2087033393840503309	0 34 42 108 120 132 190 244 288 342 400 412 424 490 498 532	-244178220418
SPT(16)	2087033585483765473	0 48 60 64 70 76 126 136 168 178 228 234 240 244 256 304	-52534958254
STPT(10)	2087033775287787827	0 2 54 56 72 74 90 92 144 146	137269064100
SPT(16)	2087034297870588959	0 18 44 60 128 140 188 194 204 210 258 270 338 354 380 398	659851865232
TPT(14)	2087034344691292301	0 2 6 8 180 182 378 380 396 398 420 422 558 560	706672568574
STPT(10)	2087034531009856031	0 2 48 50 168 170 288 290 336 338	892991132304
SPT(16)	2087035023040545727	0 4 24 36 64 100 190 196 234 240 330 366 394 406 426 430	1385021822000