Prime p₀= 2428637178270054467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Penguin
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2428635598667479823	0 6 14 20 24 30 108 116 138 146 224 230 234 240 248 254	-1579602574644
SPT(16)	2428635786574120223	0 38 60 80 90 126 150 174 200 224 248 284 294 314 336 374	-1391695934244
SPT(16)	2428636078252867447	0 6 30 82 96 154 172 210 226 264 282 340 354 406 430 436	-1100017187020
SPT(16)	2428636179882245119	0 12 28 112 168 178 190 234 238 282 294 304 360 444 460 472	-998387809348
SPT(16)	2428636319693045221	0 18 28 30 58 118 130 160 168 198 210 270 298 300 310 328	-858577009246
STPT(10)	2428637040234923039	0 2 18 20 30 32 42 44 60 62	-138035131428
STPT(10)	2428637852208373577	0 2 30 32 72 74 114 116 144 146	673938319110
STPT(12)	2428638030958109627	0 2 42 44 54 56 60 62 72 74 114 116	852688055160
SPT(16)	2428638618054015667	0 46 72 126 144 154 166 222 244 300 312 322 340 394 420 466	1439783961200
SPT(16)	2428638684585653557	0 10 24 30 66 90 132 150 166 184 226 250 286 292 306 316	1506315599090
SPT(16)	2428638914807712353	0 6 48 66 80 84 104 120 164 180 200 204 218 236 278 284	1736537657886