Prime p₀= 1040089230625298141 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: [SG-2W]Kurzer
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1040087959897641799	0 28 48 88 124 138 144 154 174 184 190 204 240 280 300 328	-1270727656342
SPT(16)	1040088074626904047	0 10 12 24 34 94 114 132 142 160 180 240 250 262 264 274	-1155998394094
SPT(16)	1040088127259351213	0 8 36 80 108 128 134 150 224 240 246 266 294 338 366 374	-1103365946928
STPT(10)	1040088327954873551	0 2 6 8 48 50 90 92 96 98	-902670424590
SPT(16)	1040088489408233539	0 18 54 88 114 208 214 238 264 288 294 388 414 448 484 502	-741217064602
STPT(10)	1040088975452432177	0 2 30 32 42 44 54 56 84 86	-255172865964
STPT(10)	1040089242681738407	0 2 12 14 72 74 132 134 144 146	12056440266
SPT(16)	1040089246062028511	0 20 62 188 200 252 270 290 378 398 416 468 480 606 648 668	15436730370
TPT(14)	1040089607767409567	0 2 12 14 30 32 90 92 144 146 174 176 222 224	377142111426
SPT(16)	1040090125508337259	0 4 48 58 130 142 160 198 364 402 420 432 504 514 558 562	894883039118
TPT(14)	1040090554463732879	0 2 18 20 30 32 42 44 228 230 378 380 492 494	1323838434738