Prime p₀= 2623241878589376659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2623239031572122921	0 12 60 96 102 122 156 168 170 182 216 236 242 278 326 338	-2847017253738
SPT(16)	2623240122565859857	0 4 34 42 90 102 144 154 222 232 274 286 334 342 372 376	-1756023516802
STPT(10)	2623240137651281381	0 2 30 32 78 80 126 128 156 158	-1740938095278
STPT(10)	2623240266709659809	0 2 42 44 60 62 78 80 120 122	-1611879716850
TPT(14)	2623240330376182409	0 2 12 14 48 50 60 62 72 74 180 182 258 260	-1548213194250
SPT(16)	2623241364031918769	0 2 20 68 182 192 230 252 338 360 398 408 522 570 588 590	-514557457890
SPT(16)	2623241936355862193	0 26 30 74 80 84 98 108 116 126 140 144 150 194 198 224	57766485534
SPT(16)	2623241958261813377	0 42 54 60 62 66 90 132 164 206 230 234 236 242 254 296	79672436718
SPT(16)	2623241970700012531	0 30 90 106 136 148 150 162 316 328 330 342 372 388 448 478	92110635872
STPT(10)	2623242140598800267	0 2 30 32 42 44 54 56 84 86	262009423608
TPT(14)	2623242308402247527	0 2 84 86 90 92 132 134 294 296 342 344 384 386	429812870868