Prime p₀= 2249317677916623707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Skyman
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2249315613186084809	0 2 42 44 60 62 78 80 120 122	-2064730538898
TPT(14)	2249316214325379137	0 2 12 14 24 26 54 56 72 74 162 164 204 206	-1463591244570
STPT(10)	2249316677131461701	0 2 30 32 78 80 126 128 156 158	-1000785162006
SPT(16)	2249316785244643937	0 26 54 104 110 140 146 186 224 264 270 300 306 356 384 410	-892671979770
STPT(10)	2249316923548384097	0 2 72 74 102 104 132 134 204 206	-754368239610
SPT(16)	2249317004757053437	0 24 30 42 94 154 156 174 202 220 222 282 334 346 352 376	-673159570270
SPT(16)	2249317766097651013	0 34 48 64 70 108 114 118 186 190 196 234 240 256 270 304	88181027306
SPT(16)	2249318146379828663	0 54 60 98 104 128 194 228 236 270 336 360 366 404 410 464	468463204956
STPT(10)	2249318564442214547	0 2 42 44 72 74 102 104 144 146	886525590840
STPT(10)	2249319366065516411	0 2 6 8 18 20 30 32 36 38	1688148892704
STPT(10)	2249319735436983257	0 2 42 44 72 74 102 104 144 146	2057520359550