Prime p₀= 2379158924560997399 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2379157798659959017	0 4 12 16 30 52 70 82 84 96 114 136 150 154 162 166	-1125901038382
STPT(10)	2379157885820043899	0 2 18 20 30 32 42 44 60 62	-1038740953500
SPT(16)	2379158203509977243	0 30 48 98 104 128 134 168 260 294 300 324 330 380 398 428	-721051020156
TPT(14)	2379158215916039027	0 2 30 32 42 44 192 194 222 224 264 266 330 332	-708644958372
STPT(10)	2379158553130871297	0 2 30 32 60 62 90 92 120 122	-371430126102
SPT(16)	2379158823567809839	0 28 30 70 90 118 138 142 180 184 204 232 252 292 294 322	-100993187560
TPT(16)	2379158941674474719	0 2 12 14 90 92 132 134 198 200 210 212 282 284 300 302	17113477320
SPT(16)	2379159269367882283	0 34 58 88 148 168 174 190 198 214 220 240 300 330 354 388	344806884884
STPT(10)	2379159350925554567	0 2 30 32 42 44 54 56 84 86	426364557168
SPT(16)	2379159496984265179	0 4 28 30 42 60 72 84 118 130 142 160 172 174 198 202	572423267780
SPT(16)	2379159608342435881	0 46 76 160 172 222 312 342 460 490 580 630 642 726 756 802	683781438482