Prime p₀= 2256728602207903259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Coleslaw
db: batch=81, k=10, 2 16 2 40 2

STPT(10)	2256727866371507327	0 2 30 32 42 44 54 56 84 86	-735836395932
SPT(18)	2256728083729166477	0 30 44 56 72 96 110 122 150 266 294 306 320 344 360 372 386 416	-518478736782
SPT(16)	2256728204155525601	0 12 26 30 42 50 138 152 186 200 288 296 308 312 326 338	-398052377658
SPT(16)	2256728416741570589	0 12 24 38 44 48 60 104 108 152 164 168 174 188 200 212	-185466332670
SPT(16)	2256728423393690219	0 18 50 68 78 84 98 114 164 180 194 200 210 228 260 278	-178814213040
SPT(16)	2256728554282297111	0 48 76 78 106 148 150 168 220 238 240 282 310 312 340 388	-47925606148
SPT(16)	2256728675701797953	0 50 60 68 78 104 116 138 266 288 300 326 336 344 354 404	73493894694
SPT(16)	2256729632135674769	0 42 54 72 90 108 110 150 152 192 194 212 230 248 260 302	1029927771510
TPT(14)	2256729763218032981	0 2 60 62 216 218 270 272 306 308 336 338 420 422	1161010129722
SPT(13)	2256730006745712791	0 12 72 138 192 258 300 342 408 462 528 588 600	1404537809532
STPT(12)	2256730056016690979	0 2 18 20 30 32 60 62 72 74 90 92	1453808787720