Prime p₀= 2306535529352885651 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: FritzB
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2306534676094360717	0 90 136 192 202 264 286 322 354 390 412 474 484 540 586 676	-853258524934
STPT(10)	2306534766910005347	0 2 60 62 72 74 84 86 144 146	-762442880304
SPT(16)	2306534912539606321	0 60 72 82 118 130 132 138 172 178 180 192 228 238 250 310	-616813279330
SPT(16)	2306535129734612809	0 60 90 114 130 132 198 204 238 244 310 312 328 352 382 442	-399618272842
TPT(14)	2306535161123674289	0 2 12 14 72 74 90 92 210 212 222 224 312 314	-368229211362
SPT(16)	2306535402768349013	0 8 18 78 98 108 114 128 156 170 176 186 206 266 276 284	-126584536638
STPT(10)	2306535631937617049	0 2 12 14 30 32 48 50 60 62	102584731398
SPT(16)	2306536131171186253	0 10 16 36 66 94 126 136 138 148 180 208 238 258 264 274	601818300602
SPT(16)	2306536362085481131	0 12 28 30 72 88 112 130 138 156 180 196 238 240 256 268	832732595480
STPT(10)	2306536383643278497	0 2 42 44 72 74 102 104 144 146	854290392846
STPT(10)	2306536880361304601	0 2 6 8 48 50 90 92 96 98	1351008418950