Prime p₀= 968427327368379761 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: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	968426190110108263	0 4 24 34 58 88 150 160 228 238 300 330 354 364 384 388	-1137258271498
SPT(16)	968426299052724923	0 50 66 80 104 120 126 164 186 224 230 246 270 284 300 350	-1028315654838
STPT(10)	968426775492602507	0 2 54 56 72 74 90 92 144 146	-551875777254
STPT(10)	968426958799735007	0 2 42 44 72 74 102 104 144 146	-368568644754
STPT(10)	968427134071112657	0 2 30 32 42 44 54 56 84 86	-193297267104
SPT(16)	968427193487473807	0 6 10 42 54 94 124 180 196 252 282 322 334 366 370 376	-133880905954
STPT(10)	968427893684903549	0 2 42 44 60 62 78 80 120 122	566316523788
SPT(16)	968428177904096731	0 48 76 82 90 118 132 142 216 226 240 268 276 282 310 358	850535716970
STPT(12)	968428478803049387	0 2 12 14 54 56 60 62 102 104 114 116	1151434669626
SPT(16)	968428509358385561	0 36 50 96 98 150 192 212 246 266 308 360 362 408 422 458	1181990005800
TPT(14)	968428616653067039	0 2 30 32 72 74 108 110 162 164 222 224 330 332	1289284687278