Prime p₀= 1089539566120051049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 46 2 40 2

STPT(12)	1089536489260851389	0 2 30 32 42 44 90 92 102 104 132 134	-3076859199660
SPT(16)	1089537333601189841	0 42 78 92 98 170 188 198 320 330 348 420 426 440 476 518	-2232518861208
SPT(13)	1089537444804512413	0 30 54 78 108 114 264 414 420 450 474 498 528	-2121315538636
SPT(13)	1089537476198183821	0 6 12 90 96 102 156 210 216 222 300 306 312	-2089921867228
STPT(12)	1089537986262342467	0 2 30 32 42 44 90 92 102 104 132 134	-1579857708582
STPT(10)	1089538572506365697	0 2 60 62 72 74 84 86 144 146	-993613685352
SPT(16)	1089539580935470339	0 24 58 72 108 112 190 210 472 492 570 574 610 624 658 682	14815419290
SPT(16)	1089539708729282141	0 8 62 78 122 128 140 146 192 198 210 216 260 276 330 338	142609231092
STPT(10)	1089539843411197229	0 2 18 20 30 32 42 44 60 62	277291146180
STPT(10)	1089540100170151307	0 2 60 62 72 74 84 86 144 146	534050100258
TPT(14)	1089540461631874169	0 2 12 14 78 80 150 152 168 170 192 194 222 224	895511823120