Prime p₀= 2054288392549143869 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: kashi
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2054286787610503427	0 20 56 72 114 122 156 164 192 200 234 242 284 300 336 356	-1604938640442
SPT(16)	2054287200458893151	0 6 8 36 56 86 110 152 156 198 222 252 272 300 302 308	-1192090250718
SPT(16)	2054287233957314581	0 10 12 30 42 130 142 208 210 276 288 376 388 406 408 418	-1158591829288
SPT(16)	2054287890990541189	0 34 42 60 70 100 102 112 120 130 132 162 172 190 198 232	-501558602680
STPT(10)	2054288108752507721	0 2 30 32 60 62 90 92 120 122	-283796636148
TPT(14)	2054288191946575577	0 2 24 26 42 44 54 56 114 116 180 182 210 212	-200602568292
STPT(10)	2054288429437390337	0 2 42 44 102 104 162 164 204 206	36888246468
SPT(16)	2054288836344126763	0 10 16 30 34 40 78 90 184 196 234 240 244 258 264 274	443794982894
SPT(16)	2054289292833240961	0 40 42 66 78 82 108 166 222 280 306 310 322 346 348 388	900284097092
STPT(10)	2054289328755203387	0 2 12 14 42 44 72 74 84 86	936206059518
SPT(16)	2054289751526035909	0 40 42 54 124 168 210 238 264 292 334 378 448 460 462 502	1358976892040