Prime p₀= 2724758243973087317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2724757658183355889	0 24 42 52 70 72 78 112 120 154 160 162 180 190 208 232	-585789731428
STPT(10)	2724757672498718951	0 2 6 8 48 50 90 92 96 98	-571474368366
SPT(16)	2724757855063296449	0 8 42 48 90 92 102 104 138 140 150 152 194 200 234 242	-388909790868
SPT(16)	2724757880693007641	0 42 72 150 170 228 240 242 276 278 290 348 368 446 476 518	-363280079676
STPT(10)	2724757933718155001	0 2 6 8 18 20 30 32 36 38	-310254932316
SPT(16)	2724758017158537559	0 28 40 42 58 84 150 210 292 352 418 444 460 462 474 502	-226814549758
STPT(10)	2724758521080147491	0 2 30 32 60 62 90 92 120 122	277107060174
STPT(10)	2724758953821920339	0 2 42 44 60 62 78 80 120 122	709848833022
STPT(10)	2724759294205437017	0 2 60 62 72 74 84 86 144 146	1050232349700
STPT(12)	2724759564681441317	0 2 42 44 84 86 90 92 132 134 174 176	1320708354000
SPT(16)	2724759578874582553	0 24 36 58 66 156 160 196 198 234 238 328 336 358 370 394	1334901495236