Prime p₀= 2044742534906748959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Landjunge
db: batch=80, k=10, 2 40 2 76 2

STPT(10)	2044741102135750817	0 2 30 32 42 44 54 56 84 86	-1432770998142
SPT(16)	2044741166966693879	0 78 92 162 258 260 288 290 360 362 390 392 488 558 572 650	-1367940055080
STPT(10)	2044741460547624101	0 2 6 8 48 50 90 92 96 98	-1074359124858
SPT(16)	2044741484681708641	0 6 12 48 52 78 90 166 192 268 280 306 310 346 352 358	-1050225040318
SPT(16)	2044741514980803911	0 30 32 42 48 68 96 108 230 242 270 290 296 306 308 338	-1019925945048
STPT(10)	2044742195930524001	0 2 6 8 18 20 30 32 36 38	-338976224958
SPT(16)	2044742582796447409	0 28 40 52 72 78 82 108 142 168 172 178 198 210 222 250	47889698450
STPT(10)	2044742722799921621	0 2 36 38 78 80 120 122 156 158	187893172662
SPT(16)	2044743029519936567	0 6 24 26 54 84 122 216 230 324 362 392 420 422 440 446	494613187608
STPT(10)	2044743354770760377	0 2 30 32 42 44 54 56 84 86	819864011418
TPT(14)	2044743472764341537	0 2 24 26 42 44 114 116 144 146 192 194 210 212	937857592578