Prime p₀= 2944104469382059799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: ginga
db: batch=82, k=10, 2 10 2 16 2

SPT(18)	2944102624737224633	0 50 78 104 114 116 140 144 146 168 170 174 198 200 210 236 264 314	-1844644835166
STPT(10)	2944102884246069389	0 2 18 20 30 32 42 44 60 62	-1585135990410
SPT(16)	2944103283454820051	0 32 60 78 92 110 120 206 222 308 318 336 350 368 396 428	-1185927239748
STPT(10)	2944103469396134951	0 2 6 8 48 50 90 92 96 98	-999985924848
SPT(16)	2944103755647063463	0 48 60 100 108 126 130 136 150 156 160 178 186 226 238 286	-713734996336
SPT(16)	2944104301126396021	0 12 52 66 78 82 126 136 162 172 216 220 232 246 286 298	-168255663778
STPT(10)	2944104564339567491	0 2 36 38 78 80 120 122 156 158	94957507692
SPT(13)	2944104981889819871	0 6 36 48 78 138 168 198 258 288 300 330 336	512507760072
SPT(18)	2944105145586394109	0 8 42 80 102 108 182 192 204 248 260 270 344 350 372 410 444 452	676204334310
SPT(16)	2944105601413236917	0 26 62 66 86 144 236 252 254 270 362 420 440 444 480 506	1132031177118
SPT(16)	2944105619001507757	0 16 30 82 142 174 186 216 220 250 262 294 354 406 420 436	1149619447958