Prime p₀= 2428378270195681457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 40 2 40 2 16 2 (?)
a_n: 0 2 12 14 54 56 90 92 132 134 174 176 192 194
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: 194
Found by: JayPi
db: batch=82, k=14, 10 40 34 40 40 16

STPT(10)	2428376313337870067	0 2 42 44 72 74 102 104 144 146	-1956857811390
SPT(16)	2428376812296445687	0 24 52 66 94 144 174 190 276 292 322 372 400 414 442 466	-1457899235770
STPT(10)	2428377177767894777	0 2 30 32 72 74 114 116 144 146	-1092427786680
SPT(16)	2428377262823933557	0 16 24 54 66 82 90 120 196 226 234 250 262 292 300 316	-1007371747900
SPT(16)	2428378194306714653	0 54 56 68 90 126 134 138 176 180 188 224 246 258 260 314	-75888966804
SPT(16)	2428378210879603273	0 48 58 84 144 156 184 210 274 300 328 340 400 426 436 484	-59316078184
SPT(16)	2428378390592876179	0 22 34 54 64 72 82 100 132 150 160 168 178 198 210 232	120397194722
STPT(10)	2428378663398971111	0 2 6 8 48 50 90 92 96 98	393203289654
STPT(10)	2428378673883153377	0 2 12 14 42 44 72 74 84 86	403687471920
TPT(14)	2428378872222602867	0 2 42 44 120 122 150 152 162 164 234 236 294 296	602026921410
SPT(16)	2428378894307919269	0 14 62 90 104 254 294 324 530 560 600 750 764 792 840 854	624112237812