Prime p₀= 2250139481426182361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Landjunge
db: batch=81, k=10, 2 106 2 28 2

STPT(10)	2250137785375981607	0 2 12 14 42 44 72 74 84 86	-1696050200754
SPT(16)	2250137909011231399	0 40 70 72 130 144 154 172 210 228 238 252 310 312 342 382	-1572414950962
SPT(16)	2250138277979684359	0 18 40 64 82 88 114 142 210 238 264 270 288 312 334 352	-1203446498002
SPT(13)	2250138929524937519	0 12 18 48 60 78 90 102 120 132 162 168 180	-551901244842
STPT(10)	2250139180976378687	0 2 30 32 72 74 114 116 144 146	-300449803674
SPT(16)	2250139226938479347	0 86 170 234 276 302 314 344 372 402 414 440 482 546 630 716	-254487703014
STPT(12)	2250139481940872957	0 2 12 14 24 26 30 32 42 44 54 56	514690596
SPT(16)	2250140005784071553	0 50 74 80 84 98 140 144 164 168 210 224 228 234 258 308	524357889192
STPT(10)	2250140023133183537	0 2 30 32 72 74 114 116 144 146	541707001176
STPT(10)	2250140069277678671	0 2 30 32 60 62 90 92 120 122	587851496310
STPT(10)	2250140088978335261	0 2 36 38 78 80 120 122 156 158	607552152900