Prime p₀= 1246457868692366381 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: xii5ku
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1246456671435803921	0 2 30 32 60 62 90 92 120 122	-1197256562460
STPT(10)	1246457035248067397	0 2 60 62 72 74 84 86 144 146	-833444298984
SPT(18)	1246457136327659869	0 4 12 22 40 42 78 162 204 208 250 334 370 372 390 400 408 412	-732364706512
SPT(16)	1246457573261247013	0 28 88 118 160 186 214 240 244 270 298 324 366 396 456 484	-295431119368
SPT(16)	1246457692037115989	0 14 18 30 68 98 162 168 254 260 324 354 392 404 408 422	-176655250392
SPT(16)	1246457831227542467	0 36 72 132 156 182 186 200 216 230 234 260 284 344 380 416	-37464823914
STPT(10)	1246458423139773197	0 2 12 14 72 74 132 134 144 146	554447406816
STPT(10)	1246458871252373921	0 2 6 8 18 20 30 32 36 38	1002560007540
SPT(16)	1246458879273996119	0 30 32 44 54 114 132 134 138 140 158 218 228 240 242 272	1010581629738
SPT(16)	1246458909853889579	0 12 14 42 102 144 150 170 264 284 290 332 392 420 422 434	1041161523198
SPT(16)	1246459078651764079	0 42 58 84 88 130 144 204 208 268 282 324 328 354 370 412	1209959397698