Prime p₀= 4305696707862894821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Chooka
db: batch=85, k=10, 2 34 2 40 2

SPT(16)	4305695690165450989	0 4 52 100 102 108 174 192 220 238 304 310 312 360 408 412	-1017697443832
STPT(10)	4305695931404543771	0 2 138 140 168 170 198 200 336 338	-776458351050
SPT(18)	4305696045642333233	0 24 30 84 90 126 140 150 156 188 194 204 218 254 260 314 320 344	-662220561588
TPT(14)	4305696155612652569	0 2 30 32 42 44 60 62 72 74 108 110 240 242	-552250242252
SPT(16)	4305696155956067699	0 14 30 50 68 74 134 144 194 204 264 270 288 308 324 338	-551906827122
STPT(10)	4305696285284851811	0 2 6 8 48 50 90 92 96 98	-422578043010
SPT(16)	4305697125046906739	0 12 20 68 78 80 104 120 152 168 192 194 204 252 260 272	417184011918
STPT(10)	4305697523931385817	0 2 42 44 72 74 102 104 144 146	816068490996
SPT(16)	4305697698739254847	0 16 24 40 84 96 102 154 222 274 280 292 336 352 360 376	990876360026
STPT(10)	4305697698765917327	0 2 30 32 42 44 54 56 84 86	990903022506
SPT(16)	4305698043788570353	0 78 84 96 106 136 138 166 168 196 198 228 238 250 256 334	1335925675532