Prime p₀= 2686660519584710099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 64 2 70 2 16 2 112 2 (?)
a_n: 0 2 60 62 72 74 138 140 210 212 228 230 342 344
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: 344
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 10 64 70 16 112

SPT(16)	2686657722492092249	0 38 42 68 110 138 164 180 302 318 344 372 414 440 444 482	-2797092617850
SPT(16)	2686658953504976773	0 16 78 100 136 148 156 180 196 220 228 240 276 298 360 376	-1566079733326
STPT(10)	2686659592298911247	0 2 42 44 72 74 102 104 144 146	-927285798852
STPT(10)	2686659972246458471	0 2 6 8 48 50 90 92 96 98	-547338251628
STPT(10)	2686660062390034607	0 2 30 32 60 62 90 92 120 122	-457194675492
SPT(16)	2686660087625053721	0 18 20 56 86 98 132 140 198 206 240 252 282 318 320 338	-431959656378
STPT(10)	2686660591051832579	0 2 30 32 60 62 90 92 120 122	71467122480
STPT(10)	2686660798586405699	0 2 42 44 60 62 78 80 120 122	279001695600
STPT(10)	2686660853498678597	0 2 30 32 72 74 114 116 144 146	333913968498
STPT(10)	2686661114148361151	0 2 6 8 48 50 90 92 96 98	594563651052
SPT(16)	2686661364954279137	0 14 50 74 90 102 120 122 144 146 164 176 192 216 252 266	845369569038