Prime p₀= 2779891611986672957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2779890941237520637	0 10 30 52 60 66 72 114 142 184 190 196 204 226 246 256	-670749152320
SPT(16)	2779891010043807521	0 38 50 56 120 140 158 162 206 210 228 248 312 318 330 368	-601942865436
SPT(16)	2779891091341647181	0 10 12 22 48 52 82 108 220 246 276 280 306 316 318 328	-520645025776
SPT(16)	2779891288325975389	0 18 48 118 124 130 150 168 184 202 222 228 234 304 334 352	-323660697568
SPT(16)	2779891500692392733	0 6 20 104 108 110 126 138 176 188 204 206 210 294 308 314	-111294280224
STPT(10)	2779891568267272601	0 2 6 8 18 20 30 32 36 38	-43719400356
TPT(14)	2779891768699072997	0 2 60 62 72 74 90 92 114 116 144 146 264 266	156712400040
STPT(10)	2779891891558748957	0 2 12 14 42 44 72 74 84 86	279572076000
STPT(10)	2779892236905059609	0 2 12 14 90 92 168 170 180 182	624918386652
SPT(16)	2779892319713797609	0 28 48 52 58 132 154 172 180 198 220 294 300 304 324 352	707727124652
SPT(16)	2779892499110334427	0 22 36 52 66 96 112 120 172 180 196 226 240 256 270 292	887123661470