Prime p₀= 2563268807339127869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Penguin
db: batch=82, k=10, 2 40 2 16 2

TPT(14)	2563266939775760081	0 2 66 68 78 80 180 182 210 212 288 290 336 338	-1867563367788
SPT(16)	2563267053415992971	0 6 20 32 48 50 66 78 80 92 108 110 126 138 152 158	-1753923134898
STPT(10)	2563267228342720967	0 2 12 14 42 44 72 74 84 86	-1578996406902
SPT(16)	2563267692991202137	0 24 42 142 202 210 234 240 244 250 274 282 342 442 460 484	-1114347925732
STPT(10)	2563267793296464011	0 2 6 8 18 20 30 32 36 38	-1014042663858
SPT(16)	2563268182398499441	0 22 60 76 82 106 120 136 162 178 192 216 222 238 276 298	-624940628428
SPT(16)	2563268942157729391	0 48 88 120 178 180 202 252 256 306 328 330 388 420 460 508	134818601522
SPT(16)	2563269499318026641	0 8 32 42 86 192 206 212 246 252 266 372 416 426 450 458	691978898772
SPT(16)	2563270301114605987	0 4 10 24 42 46 90 142 144 196 240 244 262 276 282 286	1493775478118
SPT(16)	2563270323563435567	0 6 96 104 170 204 210 224 252 266 272 306 372 380 470 476	1516224307698
SPT(16)	2563270363848157123	0 6 66 84 94 108 118 144 250 276 286 300 310 328 388 394	1556509029254