Prime p₀= 1022678125417787099 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1022677316357066969	0 2 18 20 30 32 42 44 60 62	-809060720130
SPT(16)	1022677381592764243	0 16 30 48 78 106 118 154 210 246 258 286 316 334 348 364	-743825022856
STPT(10)	1022677508906947709	0 2 12 14 30 32 48 50 60 62	-616510839390
SPT(16)	1022677595164902197	0 2 20 26 50 72 92 174 212 294 314 336 360 366 384 386	-530252884902
TPT(14)	1022677696972921721	0 2 18 20 30 32 138 140 156 158 270 272 378 380	-428444865378
SPT(16)	1022678031747251171	0 6 12 26 42 56 62 78 80 96 102 116 132 146 152 158	-93670535928
STPT(10)	1022678327886105767	0 2 30 32 60 62 90 92 120 122	202468318668
STPT(10)	1022678578213101767	0 2 42 44 72 74 102 104 144 146	452795314668
SPT(16)	1022678712837750041	0 62 90 110 162 168 188 198 230 240 260 266 318 338 366 428	587419962942
STPT(10)	1022679476605466159	0 2 18 20 30 32 42 44 60 62	1351187679060
STPT(10)	1022679525044166329	0 2 18 20 30 32 42 44 60 62	1399626379230