Prime p₀= 2307322052866731077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Odd-Rod
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2307320538658283173	0 54 70 78 90 130 154 166 168 180 204 244 256 264 280 334	-1514208447904
SPT(16)	2307320846009261759	0 14 32 42 54 78 92 102 140 150 164 188 200 210 228 242	-1206857469318
STPT(10)	2307321154422234017	0 2 12 14 42 44 72 74 84 86	-898444497060
TPT(14)	2307321251478132761	0 2 48 50 60 62 126 128 366 368 396 398 438 440	-801388598316
SPT(16)	2307321858620049737	0 36 56 96 102 104 162 174 272 284 342 344 350 390 410 446	-194246681340
SPT(16)	2307321862469093629	0 12 40 48 54 70 82 120 262 300 312 328 334 342 370 382	-190397637448
TPT(14)	2307322178719572227	0 2 12 14 54 56 120 122 174 176 222 224 444 446	125852841150
STPT(10)	2307322216840631699	0 2 18 20 60 62 102 104 120 122	163973900622
SPT(16)	2307322341210956369	0 24 32 54 84 102 110 144 188 222 230 248 278 300 308 332	288344225292
STPT(10)	2307322403225410601	0 2 30 32 60 62 90 92 120 122	350358679524
SPT(16)	2307322966076215567	0 6 60 76 82 106 166 204 292 330 390 414 420 436 490 496	913209484490