Prime p₀= 1253391286303794731 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: HenkM
db: batch=77, k=10, 2 34 2 40 2

TPT(14)	1253390227551077087	0 2 24 26 90 92 132 134 162 164 222 224 414 416	-1058752717644
TPT(14)	1253390314460723639	0 2 12 14 48 50 102 104 228 230 270 272 300 302	-971843071092
SPT(16)	1253390324120535001	0 22 30 42 58 70 126 136 162 172 228 240 256 268 276 298	-962183259730
SPT(16)	1253390328146946697	0 4 102 112 114 142 144 154 180 190 192 220 222 232 330 334	-958156848034
SPT(16)	1253390587045129523	0 6 8 14 20 26 138 156 158 176 288 294 300 306 308 314	-699258665208
TPT(14)	1253390602852398497	0 2 42 44 54 56 102 104 114 116 222 224 282 284	-683451396234
STPT(10)	1253391565670923037	0 2 60 62 72 74 84 86 144 146	279367128306
SPT(16)	1253391627113157683	0 20 56 68 134 140 216 228 296 308 384 390 456 468 504 524	340809362952
SPT(16)	1253391654326675477	0 6 14 26 104 110 132 152 204 224 246 252 330 342 350 356	368022880746
SPT(16)	1253391863525732261	0 2 108 116 122 128 200 218 240 258 330 336 342 350 456 458	577221937530
STPT(10)	1253392023018621917	0 2 12 14 72 74 132 134 144 146	736714827186