Prime p₀= 2003599612444490111 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: Chooka
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2003597212599836527	0 42 60 112 130 246 252 256 270 274 280 396 414 466 484 526	-2399844653584
SPT(16)	2003597529481738231	0 18 90 96 108 138 196 208 228 240 298 328 340 346 418 436	-2082962751880
SPT(16)	2003597692518463127	0 20 50 84 86 92 120 126 170 176 204 210 212 246 276 296	-1919926026984
STPT(10)	2003598185062431311	0 2 6 8 48 50 90 92 96 98	-1427382058800
STPT(10)	2003598801532836419	0 2 18 20 30 32 42 44 60 62	-810911653692
STPT(10)	2003598889818459761	0 2 36 38 78 80 120 122 156 158	-722626030350
SPT(16)	2003599692785212861	0 16 30 58 96 126 148 216 232 300 322 352 390 418 432 448	80340722750
STPT(10)	2003599935852482321	0 2 6 8 48 50 90 92 96 98	323407992210
SPT(16)	2003600197950471187	0 34 60 72 82 84 100 124 132 156 172 174 184 196 222 256	585505981076
STPT(10)	2003600532462269957	0 2 60 62 72 74 84 86 144 146	920017779846
SPT(16)	2003600798500577461	0 28 30 42 58 96 100 118 120 138 142 180 196 208 210 238	1186056087350