Prime p₀= 2004227599382382131 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: ChUcK
db: batch=80, k=10, 2 4 2 10 2

SPT(13)	2004226317427379987	0 42 54 60 102 120 132 144 162 204 210 222 264	-1281955002144
SPT(16)	2004226760718669511	0 12 78 82 90 100 112 118 120 126 138 148 156 160 226 238	-838663712620
TPT(14)	2004227294194259507	0 2 60 62 72 74 114 116 282 284 300 302 372 374	-305188122624
STPT(10)	2004227473929085421	0 2 30 32 78 80 126 128 156 158	-125453296710
STPT(10)	2004227517647789849	0 2 48 50 60 62 72 74 120 122	-81734592282
STPT(10)	2004227582684931977	0 2 42 44 102 104 162 164 204 206	-16697450154
SPT(16)	2004227965302210721	0 10 36 42 108 112 118 160 168 210 216 220 286 292 318 328	365919828590
TPT(14)	2004228015558649211	0 2 6 8 48 50 60 62 126 128 156 158 198 200	416176267080
STPT(12)	2004228056036711597	0 2 42 44 72 74 180 182 210 212 252 254	456654329466
SPT(16)	2004228922361011201	0 16 52 100 102 130 136 148 150 162 168 196 198 246 282 298	1322978629070
STPT(10)	2004229134738668951	0 2 36 38 78 80 120 122 156 158	1535356286820