Prime p₀= 2786368046066873687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 46 2 28 2 40 2 94 2 (?)
a_n: 0 2 12 14 24 26 72 74 102 104 144 146 240 242
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: JayPi
db: batch=82, k=14, 10 10 46 28 40 94

STPT(10)	2786365746357506567	0 2 42 44 72 74 102 104 144 146	-2299709367120
STPT(10)	2786365863164278061	0 2 6 8 18 20 30 32 36 38	-2182902595626
STPT(10)	2786366286666402617	0 2 60 62 72 74 84 86 144 146	-1759400471070
STPT(10)	2786366332224835271	0 2 6 8 18 20 30 32 36 38	-1713842038416
SPT(16)	2786366423942879467	0 16 46 54 72 84 126 154 312 340 382 394 412 420 450 466	-1622123994220
SPT(16)	2786367364266176917	0 10 64 76 106 162 172 186 220 234 244 300 330 342 396 406	-681800696770
TPT(14)	2786368098016711331	0 2 30 32 90 92 126 128 198 200 210 212 270 272	51949837644
SPT(16)	2786368430438475061	0 12 18 48 70 76 78 82 126 130 132 138 160 190 196 208	384371601374
SPT(16)	2786368546051023827	0 6 12 14 26 32 50 54 62 66 84 90 102 104 110 116	499984150140
STPT(10)	2786368847859202127	0 2 30 32 42 44 54 56 84 86	801792328440
STPT(10)	2786368899122747201	0 2 6 8 48 50 90 92 96 98	853055873514