Prime p₀= 2386429052329819697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: [AF>Libristes] Davlabedave
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2386428350892056531	0 2 8 60 158 162 170 176 222 228 236 240 338 390 396 398	-701437763166
SPT(16)	2386428556160640427	0 22 24 60 66 76 112 154 252 294 330 340 346 382 384 406	-496169179270
SPT(16)	2386428619878398287	0 10 156 166 210 220 234 286 384 436 450 460 504 514 660 670	-432451421410
STPT(10)	2386428732963982097	0 2 30 32 42 44 54 56 84 86	-319365837600
SPT(16)	2386428932609012833	0 40 100 106 120 148 150 156 190 196 198 226 240 246 306 346	-119720806864
STPT(10)	2386428937855472561	0 2 6 8 18 20 30 32 36 38	-114474347136
STPT(10)	2386429066320707501	0 2 36 38 78 80 120 122 156 158	13990887804
SPT(16)	2386429164287829667	0 10 30 42 52 70 100 142 144 186 216 234 244 256 276 286	111958009970
STPT(10)	2386429566929229431	0 2 36 38 78 80 120 122 156 158	514599409734
SPT(16)	2386429773927827921	0 18 62 122 132 140 168 192 416 440 468 476 486 546 590 608	721598008224
SPT(13)	2386430241924462467	0 12 30 42 66 96 126 156 186 210 222 240 252	1189594642770