Prime p₀= 2005884881121776297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: vaughan
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2005883830618717711	0 60 88 112 120 142 202 250 288 336 396 418 426 450 478 538	-1050503058586
TPT(14)	2005883892727947467	0 2 30 32 42 44 72 74 132 134 210 212 264 266	-988393828830
SPT(16)	2005883893972065893	0 60 66 74 84 114 120 140 144 164 170 200 210 218 224 284	-987149710404
SPT(16)	2005884360254509283	0 6 8 14 24 84 98 146 168 216 230 290 300 306 308 314	-520867267014
SPT(16)	2005884407241470143	0 6 36 40 48 70 76 94 150 168 174 196 204 208 238 244	-473880306154
SPT(16)	2005884713680633447	0 30 34 54 82 132 160 180 184 204 232 282 310 330 334 364	-167441142850
SPT(16)	2005885181810365769	0 42 50 102 110 162 170 180 260 270 278 330 338 390 398 440	300688589472
STPT(10)	2005885281644198831	0 2 30 32 60 62 90 92 120 122	400522422534
SPT(16)	2005885584623929991	0 20 30 38 42 80 120 126 212 218 258 296 300 308 318 338	703502153694
SPT(16)	2005885836823647481	0 22 42 52 70 150 160 178 180 198 208 288 306 316 336 358	955701871184
STPT(10)	2005886868089592947	0 2 30 32 42 44 54 56 84 86	1986967816650