Prime p₀= 2161129530693896429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2161127982746528767	0 46 76 90 96 102 112 126 130 144 154 160 166 180 210 256	-1547947367662
STPT(10)	2161128608711332217	0 2 60 62 72 74 84 86 144 146	-921982564212
STPT(10)	2161128762054980981	0 2 6 8 48 50 90 92 96 98	-768638915448
TPT(14)	2161128791078317769	0 2 42 44 60 62 102 104 198 200 210 212 408 410	-739615578660
SPT(16)	2161128974765040583	0 30 34 76 84 90 118 120 154 156 184 190 198 240 244 274	-555928855846
SPT(16)	2161129237233847357	0 24 96 124 196 210 232 250 306 324 346 360 432 460 532 556	-293460049072
SPT(16)	2161129761223132717	0 42 54 76 112 154 162 166 240 244 252 294 330 352 364 406	230529236288
SPT(16)	2161129790621083907	0 6 32 50 140 146 174 182 234 242 270 276 366 384 410 416	259927187478
STPT(10)	2161129809922830821	0 2 6 8 48 50 90 92 96 98	279228934392
SPT(16)	2161129863584268529	0 12 18 24 30 102 124 138 184 198 220 292 298 304 310 322	332890372100
STPT(10)	2161129899741661991	0 2 6 8 18 20 30 32 36 38	369047765562