Prime p₀= 1022677696972921721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 106 2 16 2 112 2 106 2 (?)
a_n: 0 2 18 20 30 32 138 140 156 158 270 272 378 380
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 380
Found by: Theadalus
db: batch=76, k=14, 16 10 106 16 112 106

STPT(10)	1022677065550470917	0 2 30 32 72 74 114 116 144 146	-631422450804
STPT(10)	1022677247168453057	0 2 24 26 42 44 60 62 84 86	-449804468664
STPT(10)	1022677316357066969	0 2 18 20 30 32 42 44 60 62	-380615854752
SPT(16)	1022677381592764243	0 16 30 48 78 106 118 154 210 246 258 286 316 334 348 364	-315380157478
STPT(10)	1022677508906947709	0 2 12 14 30 32 48 50 60 62	-188065974012
SPT(16)	1022677595164902197	0 2 20 26 50 72 92 174 212 294 314 336 360 366 384 386	-101808019524
SPT(16)	1022678031747251171	0 6 12 26 42 56 62 78 80 96 102 116 132 146 152 158	334774329450
STPT(10)	1022678125417787099	0 2 18 20 30 32 42 44 60 62	428444865378
STPT(10)	1022678327886105767	0 2 30 32 60 62 90 92 120 122	630913184046
STPT(10)	1022678578213101767	0 2 42 44 72 74 102 104 144 146	881240180046
SPT(16)	1022678712837750041	0 62 90 110 162 168 188 198 230 240 260 266 318 338 366 428	1015864828320