Prime p₀= 2428637040234923039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Penguin
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2428635525185624957	0 12 66 74 90 96 114 144 152 182 200 206 222 230 284 296	-1515049298082
SPT(16)	2428635598667479823	0 6 14 20 24 30 108 116 138 146 224 230 234 240 248 254	-1441567443216
SPT(16)	2428635786574120223	0 38 60 80 90 126 150 174 200 224 248 284 294 314 336 374	-1253660802816
SPT(16)	2428636078252867447	0 6 30 82 96 154 172 210 226 264 282 340 354 406 430 436	-961982055592
SPT(16)	2428636179882245119	0 12 28 112 168 178 190 234 238 282 294 304 360 444 460 472	-860352677920
SPT(16)	2428636319693045221	0 18 28 30 58 118 130 160 168 198 210 270 298 300 310 328	-720541877818
STPT(10)	2428637178270054467	0 2 60 62 72 74 84 86 144 146	138035131428
STPT(10)	2428637852208373577	0 2 30 32 72 74 114 116 144 146	811973450538
STPT(12)	2428638030958109627	0 2 42 44 54 56 60 62 72 74 114 116	990723186588
SPT(16)	2428638618054015667	0 46 72 126 144 154 166 222 244 300 312 322 340 394 420 466	1577819092628
SPT(16)	2428638684585653557	0 10 24 30 66 90 132 150 166 184 226 250 286 292 306 316	1644350730518