Prime p₀= 1233950948375398709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Theadalus
db: batch=77, k=10, 2 28 2 88 2

TPT(14)	1233949961514066449	0 2 42 44 90 92 102 104 168 170 198 200 240 242	-986861332260
STPT(10)	1233950133408471287	0 2 12 14 42 44 72 74 84 86	-814966927422
SPT(18)	1233950195940616711	0 18 30 72 78 96 100 112 142 186 216 228 232 250 256 298 310 328	-752434781998
SPT(16)	1233950243251167823	0 16 40 64 84 106 154 156 208 210 258 280 300 324 348 364	-705124230886
SPT(16)	1233950491722041101	0 10 12 30 42 72 78 82 126 130 136 166 178 196 198 208	-456653357608
TPT(14)	1233950681919507047	0 2 114 116 270 272 432 434 462 464 480 482 504 506	-266455891662
STPT(10)	1233951121912619987	0 2 30 32 60 62 90 92 120 122	173537221278
SPT(16)	1233951125420678857	0 34 54 70 96 114 132 180 196 244 262 280 306 322 342 376	177045280148
STPT(10)	1233951530699375399	0 2 18 20 30 32 42 44 60 62	582323976690
SPT(16)	1233951856392533273	0 14 20 90 114 120 134 176 204 246 260 266 290 360 366 380	908017134564
SPT(16)	1233951964403276359	0 42 48 54 82 138 154 204 238 288 304 360 388 394 400 442	1016027877650