Prime p₀= 1019801349013988069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 10 2 34 2 40 2 58 2 (?)
a_n: 0 2 42 44 90 92 102 104 138 140 180 182 240 242
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: 242
Found by: HenkM
db: batch=76, k=14, 40 46 10 34 40 58

SPT(16)	1019800226374633087	0 10 24 46 54 70 72 82 114 124 126 142 150 172 186 196	-1122639354982
SPT(18)	1019800601450240087	0 24 62 80 134 140 150 164 210 296 342 356 366 372 426 444 482 506	-747563747982
STPT(10)	1019800624640238611	0 2 30 32 78 80 126 128 156 158	-724373749458
TPT(14)	1019800911986294717	0 2 12 14 30 32 42 44 54 56 102 104 114 116	-437027693352
SPT(16)	1019800964407915727	0 14 24 42 44 86 90 102 104 116 120 162 164 182 192 206	-384606072342
SPT(16)	1019801118995855047	0 22 36 46 82 96 120 180 196 256 280 294 330 340 354 376	-230018133022
SPT(16)	1019801564062755307	0 70 144 166 196 220 252 256 270 274 306 330 360 382 456 526	215048767238
STPT(10)	1019801604377738009	0 2 18 20 60 62 102 104 120 122	255363749940
STPT(10)	1019801609105366777	0 2 30 32 42 44 54 56 84 86	260091378708
STPT(10)	1019801700744358289	0 2 18 20 30 32 42 44 60 62	351730370220
STPT(10)	1019801710523927207	0 2 30 32 60 62 90 92 120 122	361509939138