Prime p₀= 2777681070540046367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 76 2 10 2 16 2 58 2 (?)
a_n: 0 2 54 56 132 134 210 212 222 224 240 242 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 52 76 76 10 16 58

STPT(10)	2777679320291889437	0 2 54 56 72 74 90 92 144 146	-1750248156930
TPT(14)	2777679419780359187	0 2 30 32 84 86 120 122 144 146 174 176 210 212	-1650759687180
STPT(10)	2777680049169511691	0 2 6 8 18 20 30 32 36 38	-1021370534676
STPT(10)	2777680610272678079	0 2 12 14 30 32 48 50 60 62	-460267368288
STPT(10)	2777680860327717317	0 2 30 32 42 44 54 56 84 86	-210212329050
STPT(10)	2777680879530964607	0 2 30 32 72 74 114 116 144 146	-191009081760
SPT(16)	2777681128689663421	0 12 36 40 46 58 88 102 106 120 150 162 168 172 196 208	58149617054
SPT(16)	2777681237648251153	0 10 18 76 114 118 148 150 154 156 186 190 228 286 294 304	167108204786
STPT(10)	2777681361042133451	0 2 6 8 48 50 90 92 96 98	290502087084
SPT(16)	2777681450751535481	0 18 26 80 90 96 98 110 138 150 152 158 168 222 230 248	380211489114
STPT(10)	2777681466486104159	0 2 42 44 60 62 78 80 120 122	395946057792