Prime p₀= 950582065570640687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	950579891254016207	0 2 30 32 60 62 90 92 120 122	-2174316624480
SPT(16)	950580309727536511	0 6 46 60 78 102 112 156 202 246 256 280 298 312 352 358	-1755843104176
STPT(10)	950580514740599879	0 2 12 14 90 92 168 170 180 182	-1550830040808
SPT(16)	950580983001828433	0 16 28 34 54 114 234 238 246 250 370 430 450 456 468 484	-1082568812254
SPT(16)	950581710064728097	0 4 12 24 66 72 82 90 136 144 154 160 202 214 222 226	-355505912590
SPT(16)	950581868947229401	0 16 22 42 58 60 82 120 148 186 208 210 226 246 252 268	-196623411286
SPT(16)	950582157343473509	0 2 8 12 18 54 60 74 78 92 98 134 140 144 150 152	91772832822
STPT(10)	950582217035751257	0 2 24 26 42 44 60 62 84 86	151465110570
STPT(10)	950582277999880619	0 2 18 20 30 32 42 44 60 62	212429239932
STPT(10)	950582367298907867	0 2 30 32 42 44 54 56 84 86	301728267180
SPT(16)	950582368171055749	0 22 30 52 54 82 90 100 132 142 150 178 180 202 210 232	302600415062