Prime p₀= 2309206244715084269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: herby44
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2309204174960285833	0 6 40 48 130 138 168 184 240 256 286 294 376 384 418 424	-2069754798436
SPT(16)	2309204831479060967	0 60 90 162 210 272 300 314 420 434 462 524 572 644 674 734	-1413236023302
STPT(10)	2309204956083495929	0 2 18 20 30 32 42 44 60 62	-1288631588340
TPT(14)	2309205560565783707	0 2 252 254 282 284 354 356 504 506 540 542 594 596	-684149300562
SPT(16)	2309205964070842909	0 22 72 112 120 142 300 312 328 340 498 520 528 568 618 640	-280644241360
SPT(16)	2309206200231611257	0 12 16 22 30 42 54 90 106 142 154 166 174 180 184 196	-44483473012
SPT(18)	2309206435550101991	0 26 50 78 96 98 140 158 180 206 228 246 288 290 308 336 360 386	190835017722
TPT(14)	2309206509512164607	0 2 72 74 144 146 210 212 270 272 300 302 330 332	264797080338
STPT(10)	2309206600854808397	0 2 12 14 42 44 72 74 84 86	356139724128
TPT(14)	2309206923723437537	0 2 72 74 120 122 132 134 174 176 270 272 282 284	679008353268
SPT(16)	2309207191984989641	0 30 38 50 66 72 108 122 126 140 176 182 198 210 218 248	947269905372