Prime p₀= 2139272140320350129 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: Landjunge
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2139270990733003447	0 66 82 126 220 222 250 262 294 306 334 336 430 474 490 556	-1149587346682
TPT(14)	2139271098885753827	0 2 24 26 54 56 120 122 210 212 252 254 324 326	-1041434596302
STPT(10)	2139271199250918149	0 2 18 20 30 32 42 44 60 62	-941069431980
STPT(10)	2139271684079953601	0 2 6 8 48 50 90 92 96 98	-456240396528
SPT(16)	2139271713944984209	0 28 34 40 48 70 94 118 174 198 222 244 252 258 264 292	-426375365920
SPT(16)	2139272115088310701	0 6 46 66 72 90 136 148 240 252 298 316 322 342 382 388	-25232039428
SPT(16)	2139272838864084383	0 6 38 66 104 110 126 140 234 248 264 270 308 336 368 374	698543734254
STPT(10)	2139272844813608729	0 2 30 32 120 122 210 212 240 242	704493258600
SPT(16)	2139273213021081889	0 22 48 64 78 168 204 234 328 358 394 484 498 514 540 562	1072700731760
STPT(10)	2139273383784852317	0 2 30 32 72 74 114 116 144 146	1243464502188
STPT(10)	2139273386671607201	0 2 36 38 78 80 120 122 156 158	1246351257072