Prime p₀= 2687974958613389111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Roadranner
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	2687973067646910647	0 2 30 32 60 62 84 86 90 92 102 104 114 116	-1890966478464
STPT(10)	2687974051269597911	0 2 6 8 18 20 30 32 36 38	-907343791200
STPT(10)	2687974112664090071	0 2 6 8 48 50 90 92 96 98	-845949299040
STPT(10)	2687974502851918127	0 2 12 14 42 44 72 74 84 86	-455761470984
SPT(16)	2687974627605710347	0 6 24 46 72 90 114 132 154 172 196 214 240 262 280 286	-331007678764
STPT(10)	2687974887914056859	0 2 18 20 30 32 42 44 60 62	-70699332252
SPT(16)	2687975185958056793	0 14 30 108 110 120 164 170 234 240 284 294 296 374 390 404	227344667682
SPT(16)	2687975791776067591	0 28 36 66 100 148 162 166 222 226 240 288 322 352 360 388	833162678480
SPT(16)	2687975840615956201	0 6 48 78 136 150 168 258 310 400 418 432 490 520 562 568	882002567090
SPT(16)	2687976119421338881	0 6 28 70 72 88 132 156 172 196 240 256 258 300 322 328	1160807949770
STPT(10)	2687976490219833647	0 2 42 44 102 104 162 164 204 206	1531606444536