Prime p₀= 2044779569418449957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Dingo
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2044778501564828171	0 2 6 8 18 20 30 32 36 38	-1067853621786
SPT(16)	2044778622996301823	0 30 44 50 78 108 120 138 140 158 170 200 228 234 248 278	-946422148134
SPT(16)	2044778865851889931	0 30 46 52 60 66 82 100 108 126 142 148 156 162 178 208	-703566560026
TPT(14)	2044778953640033459	0 2 60 62 132 134 312 314 468 470 492 494 498 500	-615778416498
SPT(16)	2044779313600598117	0 14 56 86 92 114 156 182 204 230 272 294 300 330 372 386	-255817851840
SPT(16)	2044779338053562581	0 16 42 66 108 126 130 148 150 168 172 190 232 256 282 298	-231364887376
SPT(18)	2044780294265119417	0 10 30 54 102 112 156 166 196 210 240 250 294 304 352 376 396 406	724846669460
SPT(16)	2044780521647096357	0 42 50 56 62 80 92 152 174 234 246 264 270 276 284 326	952228646400
STPT(10)	2044781126020335137	0 2 30 32 42 44 54 56 84 86	1556601885180
TPT(14)	2044781171283536429	0 2 132 134 162 164 168 170 210 212 240 242 282 284	1601865086472
SPT(16)	2044781178383796187	0 4 12 30 102 114 144 166 300 322 352 364 436 454 462 466	1608965346230