Prime p₀= 1092564789905910707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: crashtech
db: batch=76, k=10, 2 10 2 28 2

TPT(14)	1092563860192894457	0 2 60 62 102 104 222 224 240 242 264 266 294 296	-929713016250
STPT(10)	1092563983566725609	0 2 18 20 60 62 102 104 120 122	-806339185098
TPT(14)	1092564077519100227	0 2 30 32 42 44 60 62 312 314 354 356 402 404	-712386810480
SPT(16)	1092564196081448179	0 12 18 24 42 60 70 78 94 102 112 130 148 154 160 172	-593824462528
STPT(10)	1092564325454099591	0 2 36 38 78 80 120 122 156 158	-464451811116
SPT(16)	1092564511466195837	0 2 20 42 56 80 90 102 110 122 132 156 170 192 210 212	-278439714870
SPT(16)	1092565256309310601	0 10 16 52 72 88 108 136 192 220 240 256 276 312 318 328	466403399894
TPT(14)	1092565805182640561	0 2 66 68 78 80 90 92 108 110 180 182 300 302	1015276729854
SPT(16)	1092566620629353017	0 10 54 66 102 144 156 192 214 250 262 304 340 352 396 406	1830723442310
STPT(10)	1092567148437764141	0 2 6 8 18 20 30 32 36 38	2358531853434
SPT(16)	1092567222299651689	0 48 70 90 100 120 148 154 198 204 232 252 262 282 304 352	2432393740982