Prime p₀= 2050101836557778291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

STPT(10)	2050099358211377687	0 2 30 32 42 44 54 56 84 86	-2478346400604
SPT(16)	2050099397206693271	0 32 38 50 60 62 92 98 102 108 138 140 150 162 168 200	-2439351085020
SPT(16)	2050100012559727649	0 44 50 54 78 104 110 138 170 198 204 230 254 258 264 308	-1823998050642
SPT(16)	2050100904309495127	0 12 96 124 132 142 160 210 226 276 294 304 312 340 424 436	-932248283164
SPT(16)	2050101654180697847	0 14 44 86 114 162 174 182 204 212 224 272 300 342 372 386	-182377080444
SPT(16)	2050101748890562561	0 6 36 42 88 108 112 132 166 186 190 210 256 262 292 298	-87667215730
STPT(10)	2050101944474997377	0 2 30 32 42 44 54 56 84 86	107917219086
TPT(14)	2050102092953274629	0 2 318 320 360 362 432 434 462 464 528 530 588 590	256395496338
SPT(16)	2050102317384685793	0 8 20 50 54 60 78 140 144 206 224 230 234 264 276 284	480826907502
STPT(10)	2050102586592419501	0 2 6 8 18 20 30 32 36 38	750034641210
STPT(10)	2050102745799270101	0 2 36 38 78 80 120 122 156 158	909241491810