Prime p₀= 1246436908666233371 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 40 2

STPT(10)	1246436025011183099	0 2 18 20 30 32 42 44 60 62	-883655050272
SPT(16)	1246436250830080213	0 4 10 24 70 94 96 106 168 178 180 204 250 264 270 274	-657836153158
STPT(10)	1246436556252470897	0 2 12 14 42 44 72 74 84 86	-352413762474
STPT(10)	1246436779245235337	0 2 84 86 132 134 180 182 264 266	-129420998034
SPT(16)	1246436797539442627	0 42 52 60 76 82 100 112 114 126 144 150 166 174 184 226	-111126790744
STPT(10)	1246436824633920719	0 2 48 50 60 62 72 74 120 122	-84032312652
STPT(10)	1246437349522378631	0 2 36 38 78 80 120 122 156 158	440856145260
SPT(16)	1246437401427842341	0 16 46 60 78 82 100 120 148 168 186 190 208 222 252 268	492761608970
SPT(16)	1246437446795809049	0 14 78 104 122 132 150 192 290 332 350 360 378 404 468 482	538129575678
SPT(16)	1246437663859662809	0 8 54 68 72 78 110 164 168 222 254 260 264 278 324 332	755193429438
SPT(16)	1246437730589938253	0 6 14 50 56 98 138 156 188 206 246 288 294 330 338 344	821923704882