Prime p₀= 1086268462112078429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: [SG]ATA-Rolf
db: batch=76, k=10, 2 28 2 28 2

TPT(14)	1086267538544566319	0 2 30 32 240 242 270 272 300 302 342 344 348 350	-923567512110
SPT(16)	1086267838545685837	0 4 10 42 112 114 130 142 144 156 172 174 244 276 282 286	-623566392592
STPT(10)	1086267980014868237	0 2 30 32 72 74 114 116 144 146	-482097210192
SPT(16)	1086267981112947943	0 6 10 48 60 70 76 100 204 228 234 244 256 294 298 304	-480999130486
SPT(16)	1086267999088025291	0 2 20 26 30 32 108 168 170 230 306 308 312 318 336 338	-463024053138
STPT(10)	1086268202910254237	0 2 30 32 42 44 54 56 84 86	-259201824192
SPT(16)	1086268500534879269	0 72 80 114 174 180 188 210 212 234 242 248 308 342 350 422	38422800840
STPT(10)	1086268809840330671	0 2 36 38 78 80 120 122 156 158	347728252242
STPT(10)	1086269457153189311	0 2 30 32 60 62 90 92 120 122	995041110882
STPT(10)	1086270156659791469	0 2 42 44 60 62 78 80 120 122	1694547713040
SPT(16)	1086270186574628911	0 48 58 88 126 150 228 238 360 370 448 472 510 540 550 598	1724462550482