Prime p₀= 2540336810905643801 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: Paul
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2540335235904641899	0 12 72 120 124 142 168 258 274 364 390 408 412 460 520 532	-1575001001902
STPT(10)	2540335336982674067	0 2 42 44 72 74 102 104 144 146	-1473922969734
SPT(16)	2540335359438214183	0 6 10 18 28 48 70 94 150 174 196 216 226 234 238 244	-1451467429618
SPT(16)	2540335578418704361	0 16 18 40 42 70 72 88 120 136 138 166 168 190 192 208	-1232486939440
TPT(14)	2540336405041363337	0 2 54 56 162 164 222 224 264 266 390 392 402 404	-405864280464
STPT(10)	2540336571075211001	0 2 30 32 60 62 90 92 120 122	-239830432800
STPT(10)	2540336974990089557	0 2 60 62 72 74 84 86 144 146	164084445756
STPT(10)	2540337186642458261	0 2 36 38 78 80 120 122 156 158	375736814460
STPT(10)	2540337197662374137	0 2 30 32 42 44 54 56 84 86	386756730336
SPT(16)	2540337305244628499	0 44 122 198 212 254 260 264 278 282 288 330 344 420 498 542	494338984698
STPT(10)	2540337439811652587	0 2 12 14 42 44 72 74 84 86	628906008786