Prime p₀= 2356532997945282617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: MarkRBright
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2356530459159633857	0 2 42 44 72 74 102 104 144 146	-2538785648760
STPT(10)	2356530544242600497	0 2 30 32 72 74 114 116 144 146	-2453702682120
SPT(16)	2356530962896203911	0 6 32 56 72 80 86 90 98 102 108 116 132 156 182 188	-2035049078706
STPT(10)	2356531336231997567	0 2 30 32 42 44 54 56 84 86	-1661713285050
SPT(16)	2356532359810768717	0 64 84 90 154 216 310 330 406 426 520 582 646 652 672 736	-638134513900
STPT(10)	2356532754022883627	0 2 42 44 72 74 102 104 144 146	-243922398990
STPT(10)	2356533005663232761	0 2 30 32 78 80 126 128 156 158	7717950144
SPT(16)	2356533607671028781	0 78 150 168 176 216 248 266 282 300 332 372 380 398 470 548	609725746164
STPT(10)	2356534122597773351	0 2 30 32 78 80 126 128 156 158	1124652490734
SPT(16)	2356534220644241663	0 48 86 104 126 158 236 258 266 288 366 398 420 438 476 524	1222698959046
STPT(10)	2356534224395567441	0 2 36 38 78 80 120 122 156 158	1226450284824