Prime p₀= 1026137322128542439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: vinn@[CNT]
db: batch=76, k=10, 2 10 2 16 2

SPT(16)	1026135481656902297	0 2 14 72 140 162 182 212 384 414 434 456 524 582 594 596	-1840471640142
SPT(16)	1026135590646343361	0 42 72 132 150 182 216 228 230 242 276 308 326 386 416 458	-1731482199078
SPT(16)	1026136552883115461	0 6 8 30 36 72 78 86 132 140 146 182 188 210 212 218	-769245426978
STPT(10)	1026136641529426151	0 2 6 8 48 50 90 92 96 98	-680599116288
STPT(10)	1026136899428230781	0 2 36 38 78 80 120 122 156 158	-422700311658
STPT(10)	1026136963989927467	0 2 60 62 72 74 84 86 144 146	-358138614972
STPT(12)	1026137695144784669	0 2 18 20 30 32 198 200 210 212 228 230	373016242230
SPT(20)	1026137745126893783	0 14 20 44 80 116 128 140 146 150 164 168 174 186 198 234 270 294 300 314	422998351344
SPT(16)	1026137747810384981	0 50 80 92 116 186 200 228 230 258 272 342 366 378 408 458	425681842542
STPT(10)	1026137812977700037	0 2 24 26 42 44 60 62 84 86	490849157598
SPT(18)	1026137941145746747	0 16 30 52 54 66 112 114 132 244 262 264 310 322 324 346 360 376	619017204308