Prime p₀= 2313098286985174781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Drago75
db: batch=81, k=10, 2 76 2 58 2

SPT(16)	2313096766938011101	0 10 22 40 76 78 102 138 160 196 220 222 258 276 288 298	-1520047163680
SPT(16)	2313097293976779419	0 90 92 102 120 194 270 284 330 344 420 494 512 522 524 614	-993008395362
SPT(16)	2313097386674624281	0 18 130 168 172 190 232 238 300 306 348 366 370 408 520 538	-900310550500
SPT(16)	2313097678837978553	0 36 44 48 56 80 138 156 188 206 264 288 296 300 308 344	-608147196228
TPT(14)	2313098008218334031	0 2 60 62 90 92 168 170 270 272 420 422 426 428	-278766840750
SPT(16)	2313098236867822087	0 22 60 66 112 120 136 190 216 270 286 294 340 346 384 406	-50117352694
SPT(16)	2313098952058004647	0 12 52 60 82 96 186 216 250 280 370 384 406 414 454 466	665072829866
SPT(16)	2313099268949670911	0 2 20 56 78 108 132 140 198 206 230 260 282 318 336 338	981964496130
SPT(16)	2313099786911250839	0 8 12 20 74 78 90 98 144 152 164 168 222 230 234 242	1499926076058
SPT(16)	2313100237216542701	0 20 96 126 212 222 228 236 342 350 356 366 452 482 558 578	1950231367920
SPT(16)	2313100422943248287	0 30 56 84 86 96 104 156 170 222 230 240 242 270 296 326	2135958073506