Prime p₀= 2756248559720967131 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2756247164037566321	0 50 110 128 132 162 168 182 288 302 308 338 342 360 420 470	-1395683400810
SPT(16)	2756247220186217041	0 12 30 78 88 96 120 126 142 148 172 180 190 238 256 268	-1339534750090
SPT(16)	2756247317873769977	0 32 74 104 122 180 186 206 210 230 236 294 312 342 384 416	-1241847197154
SPT(16)	2756247345716798771	0 38 90 116 138 158 200 216 242 258 300 320 342 368 420 458	-1214004168360
SPT(16)	2756247381885348371	0 20 60 62 86 138 140 182 186 228 230 282 306 308 348 368	-1177835618760
STPT(10)	2756248275113834771	0 2 6 8 48 50 90 92 96 98	-284607132360
STPT(10)	2756249513644691717	0 2 42 44 72 74 102 104 144 146	953923724586
SPT(16)	2756249790405349081	0 16 18 42 76 112 130 142 216 228 246 282 316 340 342 358	1230684381950
STPT(10)	2756249869786964459	0 2 18 20 30 32 42 44 60 62	1310065997328
TPT(14)	2756250281108052329	0 2 12 14 42 44 168 170 228 230 252 254 282 284	1721387085198
STPT(10)	2756250524765007329	0 2 42 44 90 92 138 140 180 182	1965044040198