Prime p₀= 1409230933697931101 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: Spectrum
db: batch=78, k=10, 2 4 2 10 2

SPT(16)	1409229983266303927	0 4 40 46 60 70 72 82 144 154 156 166 180 186 222 226	-950431627174
STPT(10)	1409230185429694091	0 2 36 38 78 80 120 122 156 158	-748268237010
SPT(16)	1409230213890731389	0 24 70 108 112 138 178 198 244 264 304 330 334 372 418 442	-719807199712
SPT(16)	1409230535870582153	0 24 36 44 66 98 120 126 158 164 186 218 240 248 260 284	-397827348948
SPT(13)	1409230818670660981	0 6 90 102 156 162 186 210 216 270 282 366 372	-115027270120
SPT(16)	1409230879446019843	0 30 36 54 58 90 154 220 264 330 394 426 430 448 454 484	-54251911258
SPT(16)	1409230956085320373	0 10 40 70 96 180 246 274 276 304 370 454 480 510 540 550	22387389272
STPT(10)	1409231007327550007	0 2 42 44 72 74 102 104 144 146	73629618906
SPT(16)	1409231203021206569	0 32 60 102 138 140 198 200 240 242 300 302 338 380 408 440	269323275468
SPT(16)	1409231514135903769	0 10 22 24 70 82 108 124 138 154 180 192 238 240 252 262	580437972668
TPT(14)	1409231641950987221	0 2 48 50 66 68 78 80 108 110 246 248 300 302	708253056120