Prime p₀= 2134629275142078887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2134627922238200563	0 54 58 96 118 160 166 168 226 228 234 276 298 336 340 394	-1352903878324
STPT(10)	2134628394249603137	0 2 30 32 42 44 54 56 84 86	-880892475750
SPT(16)	2134628483435390797	0 30 72 96 114 150 162 184 192 214 226 262 280 304 346 376	-791706688090
STPT(10)	2134628560278896567	0 2 30 32 42 44 54 56 84 86	-714863182320
SPT(16)	2134628978816616907	0 60 66 70 72 94 106 132 214 240 252 274 276 280 286 346	-296325461980
STPT(10)	2134629265096897571	0 2 36 38 78 80 120 122 156 158	-10045181316
SPT(16)	2134629387129282991	0 58 82 126 180 198 226 238 330 342 370 388 442 486 510 568	111987204104
STPT(10)	2134629661056310469	0 2 18 20 30 32 42 44 60 62	385914231582
SPT(16)	2134629915023964671	0 48 80 126 132 158 188 258 260 330 360 386 392 438 470 518	639881885784
STPT(10)	2134630321532067767	0 2 90 92 102 104 114 116 204 206	1046389988880
SPT(16)	2134630828301429737	0 34 42 70 90 100 142 154 180 192 234 244 264 292 300 334	1553159350850