Prime p₀= 2821088316552113747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Orange Kid
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2821086737649319081	0 12 18 40 78 90 108 172 336 400 418 430 468 490 496 508	-1578902794666
TPT(14)	2821086740434365617	0 2 30 32 54 56 84 86 90 92 102 104 210 212	-1576117748130
SPT(16)	2821087148817926993	0 8 26 50 56 90 98 116 120 138 146 180 186 210 228 236	-1167734186754
SPT(16)	2821087223166553591	0 42 120 136 202 216 232 252 340 360 376 390 456 472 550 592	-1093385560156
SPT(16)	2821087234997524301	0 8 20 32 48 90 92 110 210 228 230 272 288 300 312 320	-1081554589446
STPT(10)	2821087959711421451	0 2 6 8 18 20 30 32 36 38	-356840692296
SPT(16)	2821088412125239099	0 30 42 48 54 60 88 90 112 114 142 148 154 160 172 202	95573125352
STPT(10)	2821088475288680417	0 2 60 62 72 74 84 86 144 146	158736566670
STPT(10)	2821088537122203947	0 2 30 32 42 44 54 56 84 86	220570090200
STPT(10)	2821088556952228247	0 2 24 26 42 44 60 62 84 86	240400114500
SPT(16)	2821088701554396841	0 28 52 88 142 172 208 240 250 282 318 348 402 438 462 490	385002283094