Prime p₀= 2109850487489953289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2109848613119400467	0 2 30 44 74 96 132 144 152 164 200 222 252 266 294 296	-1874370552822
STPT(10)	2109848840198865971	0 2 6 8 18 20 30 32 36 38	-1647291087318
SPT(16)	2109849011252646803	0 20 38 54 110 128 156 194 210 248 276 294 350 366 384 404	-1476237306486
STPT(10)	2109849033268817261	0 2 36 38 78 80 120 122 156 158	-1454221136028
TPT(14)	2109850210791198779	0 2 12 14 78 80 138 140 168 170 210 212 252 254	-276698754510
STPT(10)	2109850427356764941	0 2 36 38 78 80 120 122 156 158	-60133188348
SPT(16)	2109850543266215797	0 40 54 106 120 166 264 274 276 286 384 430 444 496 510 550	55776262508
SPT(16)	2109850634643746993	0 8 26 98 110 138 150 168 176 194 206 234 246 318 336 344	147153793704
SPT(16)	2109851088870142763	0 6 8 48 56 74 78 84 110 116 120 138 146 186 188 194	601380189474
STPT(10)	2109851338140224849	0 2 42 44 60 62 78 80 120 122	850650271560
STPT(10)	2109851485250731667	0 2 30 32 42 44 54 56 84 86	997760778378