Prime p₀= 1033745319128830811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 4 2 58 2 22 2 76 2 (?)
a_n: 0 2 18 20 60 62 66 68 126 128 150 152 228 230
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: 230
Found by: Theadalus
db: batch=76, k=14, 16 40 4 58 22 76

STPT(10)	1033744179923194679	0 2 42 44 60 62 78 80 120 122	-1139205636132
STPT(10)	1033744331416229099	0 2 42 44 60 62 78 80 120 122	-987712601712
SPT(16)	1033744408754974289	0 42 50 98 170 198 240 242 378 380 422 450 522 570 578 620	-910373856522
SPT(16)	1033744832807395847	0 6 56 62 120 132 140 222 260 342 350 362 420 426 476 482	-486321434964
TPT(14)	1033745012848183367	0 2 42 44 90 92 132 134 180 182 240 242 270 272	-306280647444
SPT(16)	1033745315235660751	0 40 76 78 198 202 208 268 300 360 366 370 490 492 528 568	-3893170060
SPT(16)	1033745720250705239	0 18 30 72 110 128 138 152 228 242 252 270 308 350 362 380	401121874428
STPT(10)	1033745765196472577	0 2 30 32 42 44 54 56 84 86	446067641766
STPT(10)	1033745787905724251	0 2 78 80 138 140 198 200 276 278	468776893440
SPT(16)	1033746266119720427	0 14 60 86 102 110 114 126 140 152 156 164 180 206 252 266	946990889616
SPT(16)	1033746445781815837	0 12 22 54 82 130 142 162 214 234 246 294 322 354 364 376	1126652985026