Prime p₀= 2335444334444252807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2335443137391610847	0 2 42 44 72 74 102 104 144 146	-1197052641960
SPT(16)	2335443290774319091	0 16 28 46 72 108 120 130 168 178 190 226 252 270 282 298	-1043669933716
STPT(10)	2335443646737434069	0 2 12 14 90 92 168 170 180 182	-687706818738
SPT(16)	2335443808600678687	0 6 52 64 90 126 130 150 196 216 220 256 282 294 340 346	-525843574120
SPT(16)	2335443862664790533	0 18 36 60 96 134 168 234 260 326 360 398 434 458 476 494	-471779462274
TPT(14)	2335444261100229611	0 2 66 68 78 80 126 128 210 212 288 290 378 380	-73344023196
STPT(10)	2335444649261982161	0 2 36 38 78 80 120 122 156 158	314817729354
SPT(16)	2335444808229581539	0 10 24 52 54 72 78 100 162 184 190 208 210 238 252 262	473785328732
STPT(10)	2335444873314490547	0 2 30 32 42 44 54 56 84 86	538870237740
SPT(16)	2335445359455795701	0 20 32 50 132 170 186 188 240 242 258 296 378 396 408 428	1025011542894
STPT(10)	2335445709714787919	0 2 18 20 30 32 42 44 60 62	1375270535112