Prime p₀= 1012069608110245931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1012067507189912149	0 4 34 40 84 138 142 148 264 270 274 328 372 378 408 412	-2100920333782
STPT(10)	1012067518391162669	0 2 42 44 60 62 78 80 120 122	-2089719083262
SPT(16)	1012068501132046363	0 18 40 48 54 64 78 118 180 220 234 244 250 258 280 298	-1106978199568
STPT(10)	1012068526864538177	0 2 60 62 72 74 84 86 144 146	-1081245707754
SPT(16)	1012069026700421297	0 2 6 14 54 56 66 80 156 170 180 182 222 230 234 236	-581409824634
STPT(10)	1012069285306989731	0 2 6 8 48 50 90 92 96 98	-322803256200
SPT(13)	1012069984877798929	0 42 54 90 102 120 132 144 162 174 210 222 264	376767552998
SPT(16)	1012070429113413013	0 10 18 114 126 178 210 220 324 334 366 418 430 526 534 544	821003167082
TPT(14)	1012070956600521707	0 2 30 32 42 44 84 86 114 116 180 182 264 266	1348490275776
SPT(16)	1012070956989326197	0 6 12 22 46 60 94 96 160 162 196 210 234 244 250 256	1348879080266
SPT(16)	1012071211593864607	0 30 34 42 52 136 174 196 240 262 300 384 394 402 406 436	1603483618676