Prime p₀= 2628238593403582301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2628237615775706507	0 6 26 44 60 86 104 146 234 276 294 320 336 354 374 380	-977627875794
STPT(10)	2628237670373918891	0 2 36 38 78 80 120 122 156 158	-923029663410
SPT(16)	2628237870257923369	0 18 40 124 160 172 208 228 274 294 330 342 378 462 484 502	-723145658932
SPT(16)	2628238306877337751	0 58 90 106 108 112 132 142 246 256 276 280 282 298 330 388	-286526244550
STPT(10)	2628238330743965837	0 2 60 62 72 74 84 86 144 146	-262659616464
SPT(16)	2628238478659312579	0 30 60 144 154 180 198 210 268 280 298 324 334 418 448 478	-114744269722
STPT(10)	2628239528777152091	0 2 6 8 48 50 90 92 96 98	935373569790
SPT(16)	2628239737905883093	0 10 24 90 126 154 166 256 264 354 366 394 430 496 510 520	1144502300792
STPT(10)	2628239933866238297	0 2 12 14 72 74 132 134 144 146	1340462655996
SPT(18)	2628239966918329033	0 6 36 76 114 124 130 144 180 190 226 240 246 256 294 334 364 370	1373514746732
TPT(14)	2628240015304242947	0 2 12 14 24 26 84 86 102 104 114 116 234 236	1421900660646