Prime p₀= 1237156914468507467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1237155991954142731	0 6 16 18 126 130 148 168 190 210 228 232 340 342 352 358	-922514364736
SPT(16)	1237156284225034961	0 62 78 98 138 156 170 188 210 228 242 260 300 320 336 398	-630243472506
STPT(10)	1237156456355771009	0 2 42 44 60 62 78 80 120 122	-458112736458
STPT(10)	1237156562830016207	0 2 30 32 42 44 54 56 84 86	-351638491260
SPT(16)	1237156573709725811	0 18 20 36 48 90 132 140 168 176 218 260 272 288 290 308	-340758781656
SPT(16)	1237156675347915299	0 18 24 38 48 68 80 84 248 252 264 284 294 308 314 332	-239120592168
STPT(10)	1237157007386880257	0 2 30 32 42 44 54 56 84 86	92918372790
SPT(20)	1237157058143748949	0 22 48 54 64 78 82 132 138 238 294 394 400 450 454 468 478 484 510 532	143675241482
SPT(16)	1237157284670886563	0 36 54 56 80 90 96 140 144 188 194 204 228 230 248 284	370202379096
STPT(10)	1237157365754490767	0 2 30 32 72 74 114 116 144 146	451285983300
TPT(14)	1237157689784219807	0 2 30 32 42 44 60 62 84 86 90 92 114 116	775315712340