Prime p₀= 2687943574411113869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Groo
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2687941939622811269	0 12 48 60 62 72 102 104 138 140 170 180 182 194 230 242	-1634788302600
STPT(10)	2687941984686659747	0 2 54 56 72 74 90 92 144 146	-1589724454122
TPT(14)	2687942871416092289	0 2 18 20 42 44 102 104 108 110 180 182 240 242	-702995021580
TPT(14)	2687943319416549167	0 2 42 44 150 152 204 206 294 296 330 332 360 362	-254994564702
SPT(16)	2687943421876127123	0 8 18 20 30 56 60 66 98 104 108 134 144 146 156 164	-152534986746
SPT(16)	2687943501233173399	0 30 40 130 178 208 220 228 250 258 270 300 348 438 448 478	-73177940470
SPT(16)	2687943864421613549	0 90 104 120 180 204 212 222 332 342 350 374 434 450 464 554	290010499680
STPT(10)	2687944238705972999	0 2 18 20 30 32 42 44 60 62	664294859130
SPT(16)	2687944261397929099	0 18 30 40 54 108 130 174 178 222 244 298 312 322 334 352	686986815230
TPT(14)	2687944364435068241	0 2 66 68 96 98 126 128 138 140 150 152 228 230	790023954372
SPT(16)	2687944412316011413	0 24 28 34 48 60 94 96 118 120 154 166 180 186 190 214	837904897544