Prime p₀= 2743797019666902581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 28 2 40 2 148 2 10 2 (?)
a_n: 0 2 96 98 156 158 186 188 228 230 378 380 390 392
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: 392
Found by: [SG-FC] hl
db: batch=82, k=14, 94 58 28 40 148 10

SPT(16)	2743795882411467239	0 38 42 54 68 72 90 104 108 122 140 144 158 170 174 212	-1137255435342
STPT(10)	2743796267781644441	0 2 36 38 78 80 120 122 156 158	-751885258140
SPT(16)	2743796329273565899	0 28 42 78 90 114 138 172 240 274 298 322 334 370 384 412	-690393336682
STPT(10)	2743796513438357519	0 2 18 20 30 32 42 44 60 62	-506228545062
SPT(16)	2743796551624888801	0 16 28 70 82 90 96 132 136 172 178 186 198 240 252 268	-468042013780
SPT(16)	2743796805305838461	0 90 92 102 110 152 158 188 300 330 336 378 386 396 398 488	-214361064120
STPT(10)	2743797148062642569	0 2 18 20 60 62 102 104 120 122	128395739988
STPT(10)	2743797369066131627	0 2 30 32 42 44 54 56 84 86	349399229046
SPT(16)	2743797421531367429	0 20 42 50 54 92 120 134 138 152 180 218 222 230 252 272	401864464848
SPT(18)	2743797531287182739	0 14 42 54 62 90 92 110 134 180 204 222 224 252 260 272 300 314	511620280158
STPT(10)	2743797632319283451	0 2 6 8 18 20 30 32 36 38	612652380870