Prime p₀= 1198866717460318649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 136 2 28 2 10 2 34 2 (?)
a_n: 0 2 12 14 72 74 210 212 240 242 252 254 288 290
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: 290
Found by: stoneageman
db: batch=77, k=14, 10 58 136 28 10 34

TPT(14)	1198865730188455421	0 2 78 80 96 98 120 122 198 200 240 242 276 278	-987271863228
STPT(10)	1198865795374243037	0 2 30 32 42 44 54 56 84 86	-922086075612
SPT(16)	1198865824383039871	0 48 70 90 100 130 156 192 196 232 258 288 298 318 340 388	-893077278778
STPT(10)	1198866041280458009	0 2 18 20 30 32 42 44 60 62	-676179860640
SPT(16)	1198866084337715399	0 20 84 110 132 140 224 228 254 258 342 350 372 398 462 482	-633122603250
SPT(16)	1198866642641976953	0 8 38 56 66 74 84 86 108 110 120 128 138 156 186 194	-74818341696
STPT(10)	1198867059809096729	0 2 18 20 30 32 42 44 60 62	342348778080
STPT(10)	1198867061156502347	0 2 30 32 42 44 54 56 84 86	343696183698
SPT(16)	1198867236899444179	0 4 12 28 48 58 60 82 90 112 114 124 144 160 168 172	519439125530
SPT(16)	1198867355270197807	0 22 42 64 82 84 90 102 112 124 130 132 150 172 192 214	637809879158
STPT(10)	1198867429249741607	0 2 30 32 72 74 114 116 144 146	711789422958