Prime p₀= 1127450086979247761 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: crashtech
db: batch=76, k=10, 2 34 2 40 2

STPT(10)	1127449165219087829	0 2 18 20 30 32 42 44 60 62	-921760159932
STPT(10)	1127449182726993569	0 2 18 20 60 62 102 104 120 122	-904252254192
SPT(16)	1127449403234677799	0 8 42 72 110 134 138 150 182 194 198 222 260 290 324 332	-683744569962
SPT(16)	1127449619251062881	0 92 102 116 120 140 156 270 362 476 492 512 516 530 540 632	-467728184880
SPT(16)	1127449888844500541	0 8 26 38 42 66 78 92 126 140 152 176 180 192 210 218	-198134747220
SPT(16)	1127449945314070403	0 6 54 78 98 104 116 146 168 198 210 216 236 260 308 314	-141665177358
STPT(10)	1127450154001568357	0 2 72 74 102 104 132 134 204 206	67022320596
SPT(16)	1127450260706192861	0 32 36 60 102 110 116 120 158 162 168 176 218 242 246 278	173726945100
TPT(14)	1127450346014036897	0 2 12 14 24 26 30 32 72 74 144 146 240 242	259034789136
SPT(16)	1127450739398925983	0 44 66 86 96 144 210 228 236 254 320 368 378 398 420 464	652419678222
SPT(16)	1127450962556428033	0 28 40 46 60 90 96 108 196 208 214 244 258 264 276 304	875577180272