Prime p₀= 2428598644062657707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Penguin
db: batch=82, k=10, 2 88 2 40 2

SPT(16)	2428597648374018547	0 6 10 34 46 72 82 96 130 144 154 180 192 216 220 226	-995688639160
SPT(16)	2428597915989442553	0 30 48 68 110 168 186 230 234 278 296 354 396 416 434 464	-728073215154
TPT(14)	2428597919418304169	0 2 18 20 72 74 240 242 252 254 258 260 312 314	-724644353538
STPT(10)	2428598126770416719	0 2 18 20 30 32 42 44 60 62	-517292240988
SPT(16)	2428598414733186193	0 18 24 58 84 88 108 130 168 190 210 214 240 274 280 298	-229329471514
STPT(10)	2428598593489702391	0 2 6 8 18 20 30 32 36 38	-50572955316
SPT(16)	2428598957124320627	0 20 26 30 50 84 180 230 246 296 392 426 446 450 456 476	313061662920
STPT(10)	2428599155234777207	0 2 42 44 72 74 102 104 144 146	511172119500
STPT(10)	2428599235970146037	0 2 30 32 42 44 54 56 84 86	591907488330
SPT(16)	2428599435454464409	0 4 12 30 34 48 54 90 112 148 154 168 172 190 198 202	791391806702
STPT(10)	2428599582790412807	0 2 12 14 42 44 72 74 84 86	938727755100