Prime p₀= 796289144997008459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	796287578391009553	0 16 36 76 78 90 94 120 184 210 214 226 228 268 288 304	-1566605998906
SPT(16)	796287745631638189	0 42 48 88 102 108 130 168 184 222 244 250 264 304 310 352	-1399365370270
STPT(10)	796287786352177487	0 2 30 32 42 44 54 56 84 86	-1358644830972
SPT(16)	796287957884135501	0 12 26 42 78 98 108 116 162 170 180 200 236 252 266 278	-1187112872958
STPT(10)	796288091097146699	0 2 18 20 30 32 42 44 60 62	-1053899861760
SPT(16)	796289047935546647	0 20 32 62 72 84 102 132 182 212 230 242 252 282 294 314	-97061461812
SPT(16)	796289165985964457	0 104 122 134 140 162 164 200 276 312 314 336 342 354 372 476	20988955998
STPT(10)	796289214701744609	0 2 18 20 30 32 42 44 60 62	69704736150
STPT(10)	796289275486001621	0 2 30 32 78 80 126 128 156 158	130488993162
SPT(16)	796290282364530391	0 70 76 96 100 118 126 180 268 322 330 348 352 372 378 448	1137367521932
SPT(16)	796290330898622851	0 12 46 102 118 222 250 252 256 258 286 390 406 462 496 508	1185901614392