Prime p₀= 2339686355851710137 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2339684726261102159	0 2 18 20 30 32 60 62 78 80 120 122 198 200	-1629590607978
SPT(16)	2339684797867562281	0 48 52 58 78 118 120 132 178 190 192 232 252 258 262 310	-1557984147856
SPT(16)	2339685102818696459	0 2 110 138 140 150 222 248 354 380 452 462 464 492 600 602	-1253033013678
SPT(16)	2339685135138216377	0 54 56 66 120 182 266 276 350 360 444 506 560 570 572 626	-1220713493760
SPT(16)	2339685533883519127	0 12 34 40 54 70 82 96 190 204 216 232 246 252 274 286	-821968191010
STPT(10)	2339686228861488779	0 2 18 20 30 32 42 44 60 62	-126990221358
STPT(10)	2339686826603313797	0 2 30 32 42 44 54 56 84 86	470751603660
SPT(16)	2339686903527069407	0 36 50 80 126 134 210 224 276 290 366 374 420 450 464 500	547675359270
SPT(16)	2339686938140562223	0 10 36 54 78 94 100 208 276 384 390 406 430 448 474 484	582288852086
SPT(16)	2339687017533010777	0 90 106 112 130 132 156 162 184 190 214 216 234 240 256 346	661681300640
SPT(16)	2339687083807121989	0 24 30 48 54 64 70 114 118 162 168 178 184 202 208 232	727955411852