Prime p₀= 2306637457157114819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2306635825630783069	0 10 24 34 40 42 90 114 118 142 190 192 198 208 222 232	-1631526331750
SPT(16)	2306635944137160347	0 50 56 90 104 110 116 126 194 204 210 216 230 264 270 320	-1513019954472
SPT(16)	2306636673244426177	0 42 102 106 130 166 172 186 250 264 270 306 330 334 394 436	-783912688642
SPT(16)	2306637136139608361	0 8 42 56 90 138 140 152 246 258 260 308 342 356 390 398	-321017506458
STPT(10)	2306637194884051829	0 2 48 50 60 62 72 74 120 122	-262273062990
SPT(18)	2306637200490908743	0 28 94 96 148 174 178 198 210 274 286 306 310 336 388 390 456 484	-256666206076
SPT(16)	2306637642626692253	0 6 8 30 50 104 114 168 176 230 240 294 314 336 338 344	185469577434
SPT(16)	2306638095554326363	0 48 78 96 118 120 156 166 198 208 244 246 268 286 316 364	638397211544
STPT(10)	2306638120725037529	0 2 78 80 150 152 222 224 300 302	663567922710
STPT(10)	2306638215698395121	0 2 6 8 48 50 90 92 96 98	758541280302
SPT(16)	2306638346183289353	0 20 36 50 74 218 224 230 384 390 396 540 564 578 594 614	889026174534