Prime p₀= 2408257756144099001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Roadranner
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2408256893960870801	0 2 30 32 60 62 90 92 120 122	-862183228200
TPT(14)	2408257014002862509	0 2 12 14 132 134 168 170 210 212 342 344 438 440	-742141236492
SPT(16)	2408257327267400629	0 10 12 34 40 48 54 70 72 88 94 102 108 130 132 142	-428876698372
SPT(16)	2408257446208533553	0 58 60 64 78 84 88 100 174 186 190 196 210 214 216 274	-309935565448
TPT(14)	2408257647702353807	0 2 24 26 120 122 204 206 330 332 384 386 510 512	-108441745194
STPT(10)	2408257673112002597	0 2 30 32 72 74 114 116 144 146	-83032096404
SPT(13)	2408258068551663509	0 12 24 30 54 114 132 150 210 234 240 252 264	312407564508
STPT(10)	2408258131211438321	0 2 6 8 48 50 90 92 96 98	375067339320
SPT(16)	2408258896091658809	0 12 30 110 128 138 162 168 182 188 212 222 240 320 338 350	1139947559808
SPT(16)	2408259073418840143	0 10 24 60 64 76 88 90 124 126 138 150 154 190 204 214	1317274741142
STPT(10)	2408259277836696677	0 2 30 32 42 44 54 56 84 86	1521692597676