Prime p₀= 2119338342507134867 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=80, k=10, 2 22 2 16 2

STPT(10)	2119336589056286021	0 2 36 38 78 80 120 122 156 158	-1753450848846
STPT(10)	2119336962265686827	0 2 42 44 72 74 102 104 144 146	-1380241448040
STPT(10)	2119337879954648159	0 2 30 32 120 122 210 212 240 242	-462552486708
SPT(16)	2119337962975889587	0 16 42 54 94 100 114 154 192 232 246 252 292 304 330 346	-379531245280
TPT(14)	2119338119768661689	0 2 18 20 102 104 120 122 198 200 228 230 252 254	-222738473178
SPT(16)	2119338224321630773	0 30 48 84 108 118 154 216 238 300 336 346 370 406 424 454	-118185504094
STPT(10)	2119338378789992387	0 2 30 32 42 44 54 56 84 86	36282857520
SPT(16)	2119338394023499331	0 26 48 68 90 132 140 158 210 228 236 278 300 320 342 368	51516364464
SPT(16)	2119338610209704251	0 16 78 88 112 166 198 250 288 340 372 426 450 460 522 538	267702569384
SPT(16)	2119338736625095967	0 44 50 72 102 116 126 134 192 200 210 224 254 276 282 326	394117961100
SPT(16)	2119339029125872913	0 20 56 78 144 156 164 168 206 210 218 230 296 318 354 374	686618738046