Prime p₀= 1251446994011102027 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: HenkM
db: batch=77, k=10, 2 10 2 28 2

STPT(12)	1251445428379986839	0 2 30 32 72 74 108 110 150 152 180 182	-1565631115188
STPT(10)	1251446403410887499	0 2 12 14 30 32 48 50 60 62	-590600214528
SPT(16)	1251446505239736989	0 8 30 44 78 128 140 150 212 222 234 284 318 332 354 362	-488771365038
SPT(16)	1251446628151326419	0 30 42 44 120 138 150 152 180 182 194 212 288 290 302 332	-365859775608
STPT(10)	1251446772799633559	0 2 30 32 120 122 210 212 240 242	-221211468468
STPT(10)	1251446797312888619	0 2 18 20 60 62 102 104 120 122	-196698213408
SPT(16)	1251447236174676473	0 6 14 30 60 66 80 128 186 234 248 254 284 300 308 314	242163574446
SPT(16)	1251447855492537223	0 30 34 48 114 124 138 180 184 226 240 250 316 330 334 364	861481435196
SPT(16)	1251448262531884951	0 18 36 72 102 106 112 190 198 276 282 286 316 352 370 388	1268520782924
STPT(10)	1251448918329223697	0 2 30 32 72 74 114 116 144 146	1924318121670
TPT(14)	1251448939434110309	0 2 60 62 72 74 90 92 180 182 198 200 270 272	1945423008282