Prime p₀= 2082405759434944079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 28 2 28 2 10 2 10 2 (?)
a_n: 0 2 42 44 48 50 78 80 108 110 120 122 132 134
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: 134
Found by: Bigos2
db: batch=80, k=14, 40 4 28 28 10 10

SPT(16)	2082404692689001523	0 6 24 50 56 78 90 120 134 164 176 198 204 230 248 254	-1066745942556
STPT(10)	2082404754209623169	0 2 18 20 30 32 42 44 60 62	-1005225320910
SPT(13)	2082404778918363203	0 24 78 108 120 168 204 240 288 300 330 384 408	-980516580876
STPT(10)	2082405070910318447	0 2 42 44 72 74 102 104 144 146	-688524625632
SPT(16)	2082405148906418351	0 2 12 30 72 86 92 96 116 120 126 140 182 200 210 212	-610528525728
STPT(10)	2082405677951704949	0 2 18 20 30 32 42 44 60 62	-81483239130
SPT(16)	2082406029981084707	0 26 56 74 96 102 132 174 182 224 254 260 282 300 330 356	270546140628
SPT(16)	2082406088275465349	0 8 38 168 182 192 290 300 302 312 410 420 434 564 594 602	328840521270
STPT(10)	2082406158103898909	0 2 42 44 60 62 78 80 120 122	398668954830
SPT(16)	2082406380901733839	0 10 12 40 64 88 102 112 120 130 144 168 192 220 222 232	621466789760
SPT(16)	2082406641189117319	0 58 102 108 112 154 240 300 322 382 468 510 514 520 564 622	881754173240