Prime p₀= 1085566375816044347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: gemini8
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1085565716366249243	0 38 54 56 66 68 80 98 126 144 156 158 168 170 186 224	-659449795104
STPT(10)	1085566069384475267	0 2 30 32 42 44 54 56 84 86	-306431569080
STPT(10)	1085566089421054511	0 2 6 8 48 50 90 92 96 98	-286394989836
SPT(18)	1085566183461613037	0 44 86 92 104 114 132 170 266 360 456 494 512 522 534 540 582 626	-192354431310
STPT(10)	1085566229504467559	0 2 30 32 60 62 90 92 120 122	-146311576788
SPT(16)	1085566260305124359	0 14 42 72 108 152 170 180 182 192 210 254 290 320 348 362	-115510919988
SPT(16)	1085566514443887499	0 24 30 48 78 108 114 130 132 148 154 184 214 232 238 262	138627843152
SPT(16)	1085566685899421723	0 26 50 56 60 90 104 114 116 126 140 170 174 180 204 230	310083377376
SPT(16)	1085566749533811737	0 24 26 30 36 86 96 156 230 290 300 350 356 360 362 386	373717767390
STPT(10)	1085566770280489487	0 2 12 14 42 44 72 74 84 86	394464445140
STPT(10)	1085567235453794939	0 2 18 20 30 32 42 44 60 62	859637750592